Publications

Category-wise Details of Research Papers Published.

(a) In Journals:

Papers Authored/Coauthored

1. R. K. Sharma and Aakash Choudhary. Fields having arithmetic progression of r-primitive k-normal elements with prescribed traces. Contemporary Mathematics (AMS) (to appear).

2. Astha Agrawal and R. K. Sharma. Matrix product additive codes and M-symplectic duality with applications to EAQEC codes. Discrete Mathematics 349(10) (2026), article 115216.

3. Soniya Takshak and Rajendra Kumar Sharma. The Exact Enumeration of 4-nomial and 5-nomial Multiples of the Product of Primitive Polynomials over GF(2). New Zealand Journal of Mathematics (to appear).

4. Kapish Chand Meena, Ambrish Awasthi, and Rajendra Kumar Sharma. LCD and non-LCD (A)MDS DTRS Codes with All Possible Hooks. Advances in Mathematics of Communications 23 (2026), 189–208. DOI: 10.3934/amc.2026019.

5. Aakash Choudhary, Anuj Jakhar, and R. K. Sharma. On the Monogenity of Composed Polynomials. Communications in Algebra (2026). DOI: 10.1080/00927872.2026.2621258.

6. Abhinay Kumar Gupta and R. K. Sharma. Units in the Group Algebra FS3. Ukrainian Mathematical Journal 78, article 6 (2026). DOI: 10.1007/s11253-026-02556-x.

7. Kapish Chand Meena, Maheshanand Bhaintwal, Ambrish Awasthi, and Rajendra Kumar Sharma. Double-twisted Reed-Solomon codes with twists (1, 3) and general hooks over finite fields. Cryptography and Communications 17 (2025), 1543–1567. DOI: 10.1007/s12095-025-00822-6.

8. Praveen Manju, Rajendra Kumar Sharma, (σ, τ )-derivations of group rings with applications, Finite Fields and Their Applications, Vol. 107, (2025), Article 102629, appeared online, Pages- 74

9. N. Abhilash, E. Nandakumar, G. Mittal, and R. K. Sharma. Units of the semisimple group algebras of groups of order 162. Matematicki Vesnik 77(1) (2025), 79–94.

10. Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra Kumar Sharma, and Gaurav Mittal. Structure of the unit group of the group algebras of non-metabelian groups of order 128. Mathematica Bohemica 150(1) (2025), 1–23. DOI: 10.21136/MB.2024.0017-23.

11. Gyanendra K. Verma and R. K. Sharma. Construction of additive complementary dual codes over finite fields. Applicable Algebra in Engineering, Communication and Computing (2025). DOI:10.1007/s00200-025- 00693-7

12. Gyanendra Kumar Verma, R. K. Sharma, On additive Cyclic codes over F4 + uF4, JACODESMATH (2025)

13. Soniya Takshak, Giorgos Kapetanakis, and Rajendra Kumar Sharma. Fq-primitive points on varieties over finite fields. Finite Fields and Their Applications 103 (2025), 102582.

14. Aakash Choudhary, R.K.Sharma, Monogenity of Binomial-Trinomial Composition, Math. Slovaca (revised version submitted).

15. Pooja Gahlyan, Rohit Gupta, R. K. Sharma, New Classes of Permutation Polynomials of Special Form, Journal of Algebra Combinatorics Discrete Structures and Applications (to appear).

16. R. K. Sharma and Amit B. Singh. Unit Nil-Clean and Singular Clean Group Rings. Czechoslovak Mathematical Journal 75 (2025), 645–653. DOI: 10.21136/CMJ.2025.0371-24.

17. Navamanirajan Abhilash, Elumalai Nandakumar, Kattankulathur, Rajendra Kumar Sharma, Gaurav Mittal, Structure of the unit group of the group algebra of non-metabelian groups of order 128, Math. Bohemia. doi: 10.21136/MB.2024.0017-23.

18. Sandeep Malik, R. K. Sharma, The structure of the unit group of F3k (C3 × D2n ) and finite group algebras of groups of order 42, International Electronic Journal of Algebra. doi: 10.24330/ieja.1571446.

19. Sandeep Malik, R. K. Sharma, Meena Sahai, The structure of the unit group of the group algebras F3k D6n and Fq D42, Annales Mathematicae et Informaticae. doi: 10.33039/ami.2024.08.001.

20. Anuradha Sabharwal, Pooja Yadav and R. K. Sharma, Association Schemes for Some Finite Group Rings II, Communications on Applied Nonlinear Analysis, Vol 31, 2024.

21. Praveen Manju, R.K. Sharma, Inner and Outer twisted derivations of cyclic group algebra, Results in Mathematics. published online January 4, 2025 https://doi.org/10.1007/s00025-024-02339-5, Pages- 30

22. Praveen Manju and R. K. Sharma. Derivations of non-commutative group algebras. Journal of Algebra and Its Applications (2025). DOI: 10.1142/S0219498825503712.

23. Sonamani Sahoo and R. K. Sharma. On θ-congruent numbers over real quadratic and multiquadratic number fields. Asian-European Journal of Mathematics (to appear).

24. Praveen Manju, R. K. Sharma, Inner and outer derivations of F V8 n, Advances in Group Theory and Applications,

25. Gyanendra Kumar Verma and R. K. Sharma. Trace dual of additive cyclic codes over finite fields. Cryptography and Communications 16 (2024), 1593–1608.

26. N. Abhlash, E. Nandakumar, G. Mittal, and R.K. Sharma, On the unit group of the semisimple group algebras of groups upto order 144, Palestine journal of mathematics, Vol. 13(2), 2024.

27. Anuradha Sabharwal, Pooja Yadav, and R. K. Sharma. Association Schemes in Encrypting Two-Dimensional Data. Journal of Discrete Mathematical Sciences and Cryptography 28(1) (2025), 161–183.

28. Sivaranjani N.U., E. Nandakumar, Gaurav Mittal, R.K. Sharma, Units of the semisimple group algebras Fq SL(2, 8) and Fq SL(2, 9), Annales Mathematicae et Informaticae, Vol. 59, 2023.

29. Astha Agrawal and R.K. Sharma, Additive one-rank hull codes over finite fields, Finite Fields and Their Applications, Vol. 96, 2024.

30. Sandeep Malik and R. K. Sharma, Describing the group of units of integral groupings ZD8 and ZD12, Asian-European Journal of Mathematics, Vol. 17 (1), 2024, 2350236.

31. Pramod Kanwar, Yogesh Kumar and R. K. Sharma, A note on the structure of F qS5/J(F qS5), International Electronic J Algebra(to appear).

32. Yogesh Kumar and R. K. Sharma. A Note on the Jacobson Radical J(F2nD2m). Ukrainian Mathematical Journal 76, 1430–1434 (2025). DOI: 10.1007/s11253-024-02398-5.

33. R. K. Sharma and Yogesh Kumar, The unit group of the group algebra Fq D36, Iranina J Math, Vol. 1 (2024), 45-53.

34. Sivaranjani N. U., E. Nandakumar, Gaurav Mittal, and R. K. Sharma. On the unit group of the semisimple group algebra KqGL(2, Z5). Journal of Interdisciplinary Mathematics 27 (2024), 121–134.

35. Sivaranjani N. U., E. Nandakumar, Gaurav Mittal, and R. K. Sharma. Unit Group of the Group Algebra FqGL(2, 7). Armenian Journal of Mathematics 16(3) (2024), 1–14. DOI: 10.52737/18291163-2024.16.3-1-14.

36. N. Sivaranjini, E. Nandakumar, G. Mittal, and R. K. Sharma. The structure of the unit group of the group algebra KqSL(2, 7). Journal of Discrete Mathematical Sciences and Cryptography (2024).

37. Astha Agrawal and R. K. Sharma. ACD codes over skew-symmetric dualities. Cryptography and Communications 16 (2024), 1013–1032.

38. Gyanendra K. Verma, Astha Agrawal, and R. K. Sharma, Construction Methods for Galois LCD codes over Finite Fields,Journal of Applied Mathematics and Computing, 69, pp:4023-4043, 2023. doi: 10.1007/s12190- 023-01914-3.

39. R. K. Sharma and Abhinay Kumar Gupta. Characterization of the unit group of the integral group ring Z[G × C2n]. Journal of Algebra and Its Applications 24(2) (2025), 2550064.

40. Gaurav Mittal and R. K. Sharma. Computation of the Wedderburn decomposition of semisimple group algebras of groups up to order 120. Annales Mathematicae et Informaticae 59 (2023), 54–70.

41. Gaurav Mittal and R. K. Sharma, A short note on Wedderburn decomposition of agroup algebra, Examples and Counterexamples (A Journal by Elsevier), Vol. 3, (2023), 100105

42. R. K. Sharma, Yogesh Kumar, and D. C. Mishra. The Unit Group of the Group Algebra Fq(Z9 ⋊ Z3). Ukrainian Mathematical Journal 76, 1233–1241 (2024). DOI: 10.1007/s11253-024-02383-y.

43. Aakash Choudhary and R. K, Sharma, Existence of primitive pairs with two prescribed traces over finite fields, Journal of Algebra and its Applications (2024). doi.org/10.1142/S0219498824502451.

44. R. K. Sharma, R. Sarma, Neha Arora and Vidya Sagar, Multisecretsharing scheme with two-level security and its applications in Blockchain, IET Blockchain, Vol. 4 (1), 2024.

45. Shubham Mittal, Gaurav Mittal and R. K. Sharma, A Note On Friendly and Solitary Groups, Int. Electron J of Algebra, published online: 5 March 2023, DOI: 10.24330/ieja.1260499.

46. Astha Agrawal, Gyanendra K. Verma and R. K. Sharma, Galois LCD Codes Over Fq + uFq + vFq + uvFq, Bull. Austral. Math. Soc. 2022 (12 pages), doi:10.1017/S0004972722001344.

47. Gaurav Mittal and R. K. Sharma, The Unit Group of Semisimple Group Algebras of Some non Metabelian Grtoups of Order 144, Mathematica Bohemica, pp 1-16, DOI: 10.21136/MB.2022.0067-22

48. R. K. Sharma, Soniya Takshak, Ambarish Awasthi, Hariom Sharma, Existence of Rational Primitive Normal Pairs Over Finite Fields, Int J of Group Theory, (2022), DOI: 10.22108/IJGT.2022.133016.1784

49. R. K. Sharma, Amit B. Singh, On a Theorem of McCoy, Mathematica Bohemica, DOI: 10.1142/s0219498823501128, 14 pages.

50. R K sharma, P R Mishra, Yogesh Kumar and Nupur Gupta, Differential δ-uniformity and non-linearity of permutations over Zn, DOI 10.1016/j.tcs.2022.08.031, 2022, Theoretical Computer Science

51. Pooja Gahlyan, Reto Schnyder, and R. K. Sharma. A Class of Permutation Polynomials over the Group Ring FpCpn. Journal of Algebra Combinatorics Discrete Structures and Applications 10(2) (2023), 115–118. DOI: 10.13069/jacodesmath.v10i2.241.

52. Gaurav Mittal and R. K. Sharma. Wedderburn decomposition of a semisimple group algebra FqG from a subalgebra of a factor group of G. International Electronic Journal of Algebra 32 (2022), 91–100.

53. Gaurav Mittal, R. K. Sharma, Computation of Wedderburn decomposition of group algebras from their subalgebra, Bulletin Korean Math. Soc. (BKMS), Vol. 59, No. 3, (2022) 781-787.

54. R. K. Sharma, Amit B. Singh, On Rings With Weak Property (A) And Their Extensions,Journal of Algebra and its Applications, (JAA)), Vol. 22, No.5, 2350112 (2023), DOI:https://doi.org/10.1142/S0219498823501128.

55. R. K. Sharma, P. R. Mishra, Yogesh Kumar, A New Class of Differential 4-Uniform Permutations from Exponential Permutation, Applicable Algebra in Engineering, Communication and Computing, DOI: https://doi.org/10.1007/s00200-021-00528-.

56. Hariom Sharma, R. K. Sharma, Existence of Primitive Normal Pairs with One Prescribed Trace over Finite Fields, Design Codes and Cryptography, Vol. 89, (2021), 2841-2855 (SCIJournal)∗

57. Amit Arora and Rajendra Sharma. Cryptanalysis and enhancement of image encryption scheme based on word-oriented feedback shift register. Multimedia Tools and Applications 81 (2022), 16679–16705.

58. Rohit Gupta, Pooja Gahlyan, R. K. Sharma, New Classes of Permutation Trinomials over Fq3, Finite Fields and Their Applications, Vol. 84, 2022.

59. Amit Arora, R. K. Sharma, Known-plaintext attack (KPA) on an image encryption scheme using enhanced skew tent map (ESTM) and its improvement, Optik, Vol. 244 (2021), 157256.

60. Anuradha Sabharwal, Pooja Yadacv, R. K. Sharma, Central Idempotents in Group Ring, A Note on Central Idempotents in Group Ring of Symmetric Group over Zn, (to appear in Eastwest Journal of Mathematics),

61. Himani Sharma, D. C. Mishra, R. K. Sharma and Naveen Kumar, Multiimage Steganography and Authentication using Crypto-Stego Techniques, Multimedia Tools and Applications.Vol. 80, pp. 29067-29093(2021).

62. Gaurav Mittal and R K Sharma, Unit group of semisimple group algebras of some non-metabelian groups of order 120. Asian European J Math., Vol. 15, No. 3, (2022), 2250059.

63. Meena Sahai, Parvesh Kumari, R. K. Sharma, presentations Of general linear Groups with Jordan regular generators, Palestinian Journal of Mathematics, Vol.11(1)(2022), 162-175

64. Gaurav Mittal and R K Sharma, On unit group of finite semisimple group algebras of non-metabelian groups of order 108 Journal of Algebra Combinatorics Discrete Structures and Applications Vol. 8(2), 59-71, (2020).

65. R. K. Sharma, Amit B. Singh. Skew Hurwitz Series Rings and Modules wih Beachy-Blair Conditions Kragujevac journal of Mahematics,Vol. 47, 511-521 (14 pages) (SCIJournal)∗

66. Hariom Sharma, Rajendra Sharma,Existence of Primitive Pairs with Prescribed Traces over Finite Fields Communications in Algebra, 1773-1780, (2020)

67. Stephen D. Cohena, Hariom Sharma, Rajendra Sharma, Primitive Values of Rational Functions at Primitive Elements of a Finite Field, Journal of Number Theory. Vol. 219, 237-246, 2020

68. Harish Kumar Sahu, N. Rajesh Pillai, Indivar Gupta, R.K. Sharma, SMT solvers based Cryptanalysis of Block Ciphers Journal Springer Nature Computer Science, Vol. 1, Article number: 169 (2020).

69. Pravesh Kumari, Meena Sahai, and R. K. Sharma. Jordan Regular Units in Rings and Group Rings. Ukrainian Mathematical Journal 75, 403–418 (2023). DOI: 10.1007/s11253-023-02207-5.

70. Chirag Garg and R. K. Sharma. On Multiplicative (Generalized)-(α, β)-Derivations in Prime Rings. Ukrainian Mathematical Journal 76, 318–329 (2024). DOI: 10.1007/s11253-024-02322-x.

71. Gaurav Mittal and R. K. Sharma, On Unit Group of Finite Semi-simple Group Algebras of Non-Meta Abelian Groups Mathematica Bohemica, Vol. 146, (2021), 429-455

72. Swati Maheshwari and R. K. Sharma, A note on Units in Fq SL(2, Z3 ), ( Ukrainian Mathematical Journal ) Vol. 73, no. 8, Aug. 2021, pp. 1147 -52.

73. R. K. Sharma, Amit B. Singh. Zip Property of Skew Hurwitz Series Rings and Modules, Serdica Mathematical Journal, (2019), Vol.45 (20 pages)

74. R. K. Sharma and Rohit Gupta, Determination of a type of permutation binomials and trinomials, Communication and Computing, 31 (2020), no. 1, 65-86

75. Pramod Kanwar, Meenu Khatkar and R. K. Sharma, On Leavitt path algebras over commutative rings, ( Intern. Electronic J. Algebra). Vol. 26, pp. 191-203(2019)

76. Ambrish Awasthi and Rajendra K. Sharma. Primitive transformation shift registers over finite fields. J. Algebra and its Applications.(2019) Vol 18, No.9, 1950171 (16 pages),DOI: 10.1142/S0219498819501718.

77. B. Dhara,C. Garg,R. K. Sharma. An Identity on Generalised Derivations Involving Multilinear Polynomials in Prime Rings, Proceedings of Mathematical Sciences. (2019) Vol. 129, Issue 3

78. Anju Gupta, R. K. Sharma, and Stephen D. Cohen. Primitive Element Pairs with One Prescribed Trace over a Finite Field. Finite Fields and Their Applications 54 (2018), 1–14.

79. R. K. Sharma, Anju. Pair of Primitive Elements with Prescribed Traces over Finite Fields. Communications in Algebra, Vol. 47, No. 3, (2019), 1278-1286.

80. S. Maheshwari and R. K. Sharma. A Note on Presentation of General Linear Groups over a Finite Field. Southeast Asian Bulletin of Mathematics 43 (2019), 217–224.

81. Rajendra K. Sharma, Ambrish Awasthi, and Anju Gupta. Existence of Pair of Primitive Elements over Finite Fields of Characteristic 2. Journal of Number Theory 193 (2018), 386–394.

82. R. K. Sharma, B. Dhara, C. Garg. A Result Concerning Generalised Derivations on Multilinear Polynomials in Prime Rings. Rendiconti del Circolo Matematico di Palermo, Vol. 68, (2019), 275-291.

83. R. K. Sharma, B. Dhara, V. De Filippis, and C. Garg. A Result concerning nilpotent values with generalized skew derivations on Lie ideals. Communications in Algebra, Vol. 46, No. 12, (2018).

84. R. K. Sharma and Amit B. Singh. Unified extensions of strongly reversible rings and links with other classic ring theoretic properties.Journal of Indian Math. Soc.. (2018), Vol.83, Nos. (3-4), 434-447.

85. S. K. Tiwari and R. K. Sharma. On Lie ideals with generalized (α, α)- derivations in prime rings. Rend. Circ. Mat. Palermo. II. Ser (2018). Vol. 67, (2018), 493-499.

86. Meena Sahai, R. K. Sharma, and Pravesh Kumari. Jordan regular generators of general linear groups. Journal of Indian Mathematical Society.Volume 85, Issue 3-4, (2018).

87. Rohit Gupta, and R. K. Sharma. Further results on permutation polym nomials of the form (xp − x + δ)s + x over Fp2m. Finite Fields and Their Applications.Vol. 50 (2018) 196-208.

88. Dinesh Udar, R. K. Sharma and J. B. Srivastava. J-boolean group rings and skew group rings. Journal of Algebra and its Applications. (2018) 1850210 (9 pages).

89. Chirag Garg, R. K. Sharma. A note on annihilator conditions in prime rings. Rend. Circ. Mat. Palermo, II. Ser, Vol. 67, (2018), 197-204.

90. M. Sahai, Reetu Siwach and R. K. Sharma. On the Lie nilpotency indices of Modular group algebras II. Asian European Journal of Mathematics. Vol. 11, No. 6 (2018), 1850087 (17 pages).

91. Dinesh Udar, R. K. Sharma and J. B. Srivastava. Restricted Boolean group rings. Archivum Mathematicum. Vol. 53 (2017), No. 3, 155-159

92. R. K. Sharma, Reetu Siwach and M. Sahai. Group algebras of Lie nilpotency index 12 and 13. Comm. Algebra, Vol. 46, No. 4, (2018), 1428- 1446.

93. Chirag Garg, Vishal Kr. Yadav, R. K. Sharma. A note on generalized (α, β)-derivation. Southeast Asian Bulletin of Mathematics, Vol. 42, No. 4, (2018), 535-543.

94. Anju, R. K. Sharma. Existence of Some Special Primitive Normal Elements over Finite Fields. Finite Fields and Their Applications, Vol. 46 (2017), 280–303.

95. S. K. Tiwari, B. Prajapati, and R. K. Sharma. Banach Algebra with Generalised Derivations. Asian European Journal of Mathematics, Vol. 10, No. 3 (2017), 1750069 (11 pages).

96. Pramod Kanwar, Meenu Khatkar, and R. K. Sharma. Idempotents and units of matrix rings over polynomial rings. International Electronic Journal of Algebra, Vol. 22 (2017), 147–169.

97. Yogesh Kumar, P. R. Mishra, and R. K. Sharma. Non-Linearity of k- Cycle Permutations on Zn. Asian European Journal of Mathematics, Vol. 11, No. 2 (2018) 1850020 (13 pages).

98. Dinesh Udar, R. K. Sharma and J. B. Srivastava. Strongly P-Clean and semiboolean group rings Ukrainian Mathematical Journal, Vol. 71, No. 12, (2020), 1965-1971.

99. Anju, R. K. Sharma. On Primitive Normal Elements over Finite Fields. Asian European Journal of Mathematics, Vol. 11, No. 2 (2018) 1850031 (14 pages).

100. Dinesh Udar, R. K. Sharma and J. B. Srivastava. Commutative Neat Group Rings. Communications in Algebra, Vol. 45, No. 11 (2017), 4939-4943.

101. D. C. Mishra, Himani Sharma, R. K. Sharma and Naveen Kumar. A first cryptosystem for security of two dimensional data. Fractals, Vol. 25, No. 1 (2017), 1750011 (28 pages).

102. P. R. Mishra, Yogesh Kumar, N. R. Pillai and R. K. Sharma. On Non- Linearity and Affine Equivalence of Permutations over an Arbitrary Finite Commutative Ring with Unity. Cryptologia, Vol. 42, No. 1 (2018), 81-94.

103. Yogesh Kumar, R. K. Sharma and J. B. Srivastava. The structure of the unit group of the group algebra F S5, where F is a finite field with Char(F ) = p > 5, Acta Math. Acad. Paed. Nyireg, Vol. 33(2017), 187-193.

104. Yogesh Kumar, P. R. Mishra, N. R. Pillai and R. K. Sharma. Affine equivalence and non-linearity of permutations over Zn. Applicable Algebra in Engineering, Communication and Computing, Vol. 28 (2017),257- 279.

105. S.K.Tiwari, R. K. Sharma, Derivations vanishing identities involving generalised derivations and multilinear polynomials in prime rings. Mediterr. J. Math., Vol. 14, No. 207 (2017).

106. D. C. Mishra and R. K. Sharma. An approach for security of color image data in coordinate, geometric, and frequency domains. Information Security Journal: A Global Perspective, Vol. 25, No. 4-6 (2016), 213-234.

107. Parvesh Kumari, R. K. Sharma. Unit Group of Z2 D10. International Journal of Algebra, Vol. 9, No. 4 (2015), 179–183.

108. S. K. Tiwari, R. K. Sharma and B. Dhara. Derivations vanishing on commutators with generalised derivation of order 2 in prime rings. communications in Algebra, Vol. 45, No. 8 (2017), 3542-3554

109. V. K. Yadav and R. K. Sharma. On additive mappings in rings with identity element. Rend. Circ. Math. Pale., Vol. 66, (2017), 355-360.

110. V. K. Yadav and R. K. Sharma. Skew n-derivations on prime, and semiprime rings. Ann. Uni. Ferr., Vol. 63, (2017), 391-402.

111. Reetu Siwach, R. K. Sharma and M. Sahai. Strongly Lie solvable group algebras of derived length 4. Beitr Algebra Geom, Vol. 57, (2016), 881-889.

112. V. K. Yadav, S. K. Tiwari and R. K. Sharma. Generalized derivations on Lie ideals in prime rings. Asian-European Journal of Mathematics, Vol 10, No. 2, (2017), 1750032.

113. Harish Sahu, Indivar Gupta, N.Rajesh Pillai, Rajendra Sharma. BDD based Cryptanalysis of Stream Cipher: A Practical Approach. IET Information Security, Volume-11, 159-167.

114. R. K. Sharma, B. Prajapati. Generalized derivations and commutativity of prime Banach algebras. Beitr Algebra Geom., Vol. 58, (2017), 179-187.

115. Sachin Kumar, Rajendra K. Sharma. Securing color images using Twosquare cipher associated with Arnold map. Multimedia Tools and Applications, Vol. 76, No. 6 (2017), 8757-8779.

116. Reetu Siwach, R. K. Sharma and M. Sahai. On the Lie Nilpotency Indices of Modular Group Algebras, Beitrge zur Algebra und Geometrie, Vol. 58 (2017), 355-367.

117. S. K. Tiwari, R. K. Sharma and B. Dhara. Some theorems of commutativity on semiprime rings with mappings, Southeast Asian Bull.Math.J., Vol. 42, (2018), 279-292.

118. Swati Maheshwari, R. K. Sharma. Lie regular generators of general linear group GL(4, Zn ), Serdica Mathematical Journal, Volume 42, Numbers 3- 4, 2016.

119. S. K. Tiwari, R. K. Sharma, B. Dhara. Multiplicative (generalized)- derivation in semiprime rings. Beitrge zur Algebra und Geometrie, Vol. 58, No. 1 (2017), 211-225.

120. Rohit Gupta, R. K. Sharma. Some new classes of permutation trinomials over finite fields with even characteristic. Finite Fields and their Applications, Vol. 41 (2016), 89–96.

121. Yogesh Kumar, N. R. Pillai, R. K. Sharma. On the Number of Integer Recurrence Relations. Defence Science Journal, Vol. 66, No. 6 (2016), 605–611.

122. Reetu Siwach, R. K. Sharma and M. Sahai. Modular group algebras with small Lie nilpotency indices. Asian-European Journal of Mathematics, Vol. 9, No. 4 (2016), 1650080 (15 pages).

123. Swati Maheshwari, R. K. Sharma. The unit group of group algebra Fq SL(2, Z3 ). J. Algebra Comb. Discrete Appl., Vol. 3, No. 1 (2016), 1–6.

124. Swati Sidana, R. K. Sharma. Units in finite loop algebras of RA2 loops. Asian European Journal of Mathematics, Vol. 9, No. 1 (2016), 1650026- 1-1650026-11.

125. Anju, R. K. Sharma. A note on the distribution of self-dual normal bases generators of finite fields under trace map. Beitrge zur Algebra und Geometrie, Vol. 57 2016, 573-578.

126. Rohit Gupta, R. K. Sharma. On permutation polynomials over finite fields of characteristic 2. Journal of Algebra and its Applications, Vol. 15, No. 7 (2016), 1650133-1-1650133-7.

127. Dinesh Udar, R. K. Sharma and J. B. Srivastava. Restricted perfect group rings. Communications in Algebra, Vol. 44 (2016), 4097–4103.

128. R. K. Sharma, B. Dhara, S. K. Tiwari. Left annihilator of commutator identity with generalise derivations and multilinear polynomials in prime rings. Communications in Algebra, Vol. 44 (2016), 3611–3621.

129. D. C. Mishra, R. K. Sharma, Mayank Dawar, M. Hanmandlu. Two layers of security for color video by matrix affine cipher with two-dimensional discrete wavelet transform. Fractals, Vol. 23, No. 4, 2015.

130. D. C. Mishra, R. K. Sharma, Rakesh Ranjan, M. Hanmandlu. Security of RGB image data by affine hill cipher over SLn (Fq ) and Mn (Fq ) domains with Arnold transform. Optik, Vol. 126 (2015), 3812–3822.

131. Swati Sidana and R. K. Sharma. On the finite loop algebras of the smallest moufang loop M (S3, 2). Armenian Journal of Mathematics, Vol. 8, No. 1 (2016), 68–76.

132. Neha Makhijani, R. K. Sharma and J. B. Srivastava. A note on the structure of Fpk A5 /J(Fpk A5 ). Acta Scientiarum Mathematicarum., Vol. 82(1-2) (2016), 29–43.

133. Chirag Garg, R. K. Sharma. On generalized (α, β)-derivations in prime rings. Rend. Circ. Mat. Palermo, Vol. 65, (2016), 175-184.

134. Shailesh Kumar Tiwari, Rajendra K. Sharma, Basudeb Dhara. Identities related to generalized derivation on ideal in prime rings. Beitrage zur Algebra und Geometrie, Vol. 57, No. 4 (2015), 809–821.

135. Neha Makhijani, R. K. Sharma and J. B. Srivastava. The unit group of some special semisimple group algebras. Quaestiones Mathematicae, Vol. 39, No. 1 (2015), 9–28.

136. Neha Makhijani, R. K. Sharma and J. B. Srivastava. Units in finite dihedral and quaternion group algebtras. Journal of Egyptian Mathematical Society, Vol. 24 (2016), 5–7.

137. Neha Makhijani, R. K. Sharma and J. B. Srivastava. Units in Fqk (Cp semidirect productCq ). International Electronic Journal of Algebra, vol. 18 (2015), 21–33.

138. Neha Makhijani, R. K. Sharma and J. B. Srivastava. The unit group of Fq [D30 ]. Serdica Mathematical Journal, Vol. 41 (2015), 185–198.

139. Sachin Kumar, Rajendra Kumar Sharma. Random-grid based region incrementing visual secret sharing. Fundamenta Informaticae, Vol. 137 (2015),369-386.

140. Swati Sidana and R. K. Sharma. Finite semisimple loop algebras of indecomposable RA loops. Canadian Mathematical Bulletin, Vol. 58 (2015), 363–373.

141. Alok Mishra, R. K. Sharma, W Shukla. On the complexity of the dual bases of the Gaussian normal bases. Algebra Colloquium, Vol. 22(Spec. 1) (2015), 909–922.

142. Neha Makhijani, R. K. Sharma and J. B. Srivastava. On the Order of Unitary Subgroup of the Modular Group Algebra F2k D2N. Journal of Algebra and its Applications, Vol. 14, No. 8 (2015), 1550129 (10 pages).

143. D. C. Mishra and R. K. Sharma. Application of algebra and discrete wavelet transform in two-dimensional data (RGB-images) security. International Journal of Wavelets, Multiresolution and Information Processing, Vol. 12, No. 6 (2014), 1450040.

144. D. C. Mishra, R. K. Sharma, Manish Kumar and Kuldeep Kumar. Security of color image data designed by public-key cryptosystem associated with 2D-DWT. Fractals, Vol. 22, No. 4 (2014), 1450011.

145. Neha Makhijani, R. K. Sharma and J. B. Srivastava. Structure of some classes of semi-simple group algebras over finite fields. Bulletin of the Korean Mathematical Society, Vol. 51, No. 6 (2014), 1605–1614.

146. Neha Makhijani, R. K. Sharma and J. B. Srivastava. A note on units in Fpm D2pn. Acta Math. Acad. Paed. Nyireg.(AMAPN), Vol. 30 (2014), 17–25.

147. Swati Sidana and R. K. Sharma. Finite loop algebras of RA loops of order 64. Acta Math. Acad. Paed. Nyireg.(AMAPN), Vol. 30 (2014), 27-42.

148. Alok Mishra, R. K. Sharma, W. Shukla. On the Bound of the Complexity of the Normal Basis Generated by the Trace of the Dual Element of a Type I Optimal Normal Element. Asian-European Journal of Mathematics, Vol 7, No. 3 (2014), 1450043 (16 pages).

149. Alok Mishra, R. K. Sharma, W. Shukla. On the Self-dual normal bases and their distribution. Linear Algebra and its Applications, Vol. 457 (2014), 179–190.

150. Neha Makhijani, R. K. Sharma and J. B. Srivastava. Units in F2k D2n. International Journal of Group Theory, Vol 3, No. 3 (2014), 25–34.

151. Neha Makhijani, R. K. Sharma and J. B. Srivastava. The unit group of algebra of circulant matrices. International Journal of Group Theory, Vol 3, No. 4 (2014), 13–16.

152. Neha Makhijani, R. K. Sharma and J. B. Srivastava. The unit group of finite group algebra of a generalized dihedral group. Asian-European Journal of Mathematics, Vol. 7, No. 2 (2014), 1450034-1-1450034-5.

153. Manish Kumar, D. C. Mishra, and R. K. Sharma. A first approach on an RGB image encryption. Optics and laser engineering, Vol 54 (2014), 27–34.

154. Sachin Kumar and R. K. Sharma. Threshold Visual Secret Sharing based on Boolean Operations. Security and Communication Networks, Vol 7, No. 3 (2014), 653-664.

155. R. K. Sharma and B Prajapati. Lie Ideal and Generalized Jordan Left Derivations on Semi Prime Rings. Ital. J. Pure & Appl. Math., Vol. 30 (2013), 15-22.

156. D. C. Mishra, R. K. Sharma. Grayscale-image encryption using Random Hill Cipher over SLn (F ) associated with Discrete Wavelet Transformation. Applications and Applied Mathematics: An International Journal (AAM), Vol. 8, Issue 2 (December 2013), 777 - 791.

157. R. K. Sharma, Swati Sidana. The unit loop of finite loop algebras of loops of order 32. Beitr. Algebra Geom. vol 56, No. 1(2015), 339-349.

158. R. K. Sharma and Pooja Yadav. Unit Group of Algebra of Circulant Matrices. International Journal of Group Theory, Vol 2, No. 4 (2013), 1–6.

159. Sugata Gangopadhyay, Anand Joshi, Gregor Leander and R. K. Sharma. A new construction of bent functions based on Z-bent functions. Design Codes Cryptogrphy, Vol. 66 (2013), 243-256.

160. Sachin Kumar, Rajendra Kumar Sharma. Secret image sharing for general access structures using random grids. International Journal of Computer Applications (0975 8887), Vol. 83, No. 7 (2013), 1–8.

161. Sachin Kumar and R. K. Sharma. Recursive Information Hiding of Secrets by Random Grids. Cryptologia, Vol. 37 (2013), 154–161.

162. R. K. Sharma, Wagish Shukla and S. Ramasamy. A Note on identification of irreducible polynomials of over F2 ). International Electronic Journal of Pure and Applied Mathematics, Vol. 4, No. 2 (2012), 59–70.

163. R. K. Sharma, P. Yadav and K. Joshi. Units In Z2 (C2 × D∞ ). International Journal of Group Theory, Vol. 01, No. 4 (2012), 33–41.

164. Anand Joshi and R. K. Sharma. On some classes of Z-bent functions. International Journal of computer science and information technologies, Vol. 3 (2012), 4005–4009.

165. Sachin Kumar and R. K. Sharma. Improving Contrast in Random Grids Based Visual Secret Sharing. International Journal of Security and Its Applications,Vol. 6, No. 1, January, 2012.

166. Pramod Kanwar, R K Sharm and Pooja Yadav. Lie Regular Generators of the General Linear Groups-II. Int Elect. J. Algebra, Vol. 13, (2013), 91–108.

167. Dhirendra Singh Yadav, R. K. Sharma and Wagish Shukla. A Note on Trace map. International Journal of Algebra, Vol. 5, no. 24, (2011), 1175–1179.

168. Dhirendra Singh Yadav, R. K. Sharma and Wagish Shukla. On Quadratic Reducibles and Irreducible Applications over Fp. Int. J. of Mathematical Sciences and Applications, Vol. 1, No. 2 (2011), 785–789.

169. R. K. Sharma, Wagish Shukla, S. Ramaswami. On Trace and Structure of F2n. J. Commun. & Computers, Vol. 8, (2011), 329–334.

170. B. Dhara, Vincenzo De Filippis and R. K. Sharma. Generalized derivations and left multipliers on Lie ideals. Aequat. Math., Vol. 81 (2011), 251–261.

171. R. K. Sharma, Pooja Yadav, Pramod Kumar. Lie Regular Generators of General Linear Groups. Commun. Algebra, 40 (2012) 1304-1315.

172. B. Dhara and R. K. Sharma. On the Annihilator of Derivations with Engel Conditions in Prime Rings. Tamsui Oxford J. Math. Sci., Vol. 26, No.3, (2010), 255–264. [Q4]

173. Megha Gupta, R. K. Sharma and J. B. Srivastava. A note on Groups of Finite Weight. Southeast Asian Bull. Math, Vol. 34, No. 3,(2010), 425–427.

174. R. K. Sharma, Wagish Shukla, S. Ramaswami. A Public Key Cryptography from Linear algebra. Sekhar(New Series) Int. J. Math., Vol. 1, (2010), 23–27.

175. Rajendra Sharma, Sudesh Shah. The Maximal Semi Regular Ideal of Rings and Group Rings. Lobachevskii J Math., Vol. 31 (2010), 58–66.

176. Kanchan Joshi, R. K. Sharma. Strongly Prime Radical of Group Algebras. Contrib. Algeb. & Geom., Vol. 51, No. 2,(2010), 417–425.

177. Kanchan Joshi, R. K. Sharma and J. B. Srivastava. ∗-Prime Group Rings. J. Algeb.& Appl., Vol. 8, (2009), 797–803.

178. B. Dhara and R. K. Sharma. On Additive Mappings in Rings with Identity Element. Int. Math. Forum, Vol. 4, (2009), 727–732.

179. B. Dhara and R. K. Sharma, Vanishing Power Values of Commutators with Derivations, Siberian Math. J., Vol. 50, No. 1, (2009), 60–65.

180. B. Dhara and R. K. Sharma. Right Sided Ideals and Multi linear Polynomials with Derivations on Prime Rings. Rendicontidel Sem. Math. Univ. di Padova, Vol. 121, (2009), 243–257. [Q4]

181. R. K. Sharma and Pooja Yadav. The Unit group of Zp Q8. Algebras, Groups and Geometries, Vol. 25, (2008), 425–430.

182. R. K. Sharma, B. Prajapati and S. K. Shah. N-Additive Mapping. Algebras, Groups and Geometries, Vol. 25, (2008), 401–414.

183. B. Dhara and R. K. Sharma. On Additive Mappings in Semi Prime Rings with Left Identity. Algebras,Groups and Geometries, Vol. 25, (2008), 175–180.

184. Megha Gupta, R. K. Sharma and J. B. Srivastava. Weight of Groups of Order up to 100. Int. J. Algebra, Vol. 2, No. 17, (2008), 813–836.

185. B. Dhara and R. K. Sharma. Derivations with Power Central Values on Lie ideals in Prime Rings. Czechoslovak Math. J., vol. 58(133),(2008),147– 153

186. Megha Gupta, R. K. Sharma and J. B. Srivastava. On Groups and Their Weight. Int. J. of Algebra, Vol.2, (2008), No.6, 265–275.

187. B. Dhara and R. K. Sharma. On the Annihilators of Power Values of Commutators with Derivations. Int. J. of Algebra, Vol.2, (2008), No.2, 91–100.

188. K. Sikdar, U. C. Gupta and R. K. Sharma. The Analysis of a Finite- Buffer General Input Queue with Batch Arrival and Exponential Multiple Vacations. Int. J. Op. Res., Vol.3, No.1/2, (2008), 219–234 [Q3]

189. R. K. Sharma, J. B. Srivastava, and Manju Khan. The Unit Group of F S4. Acta Math Hungar, Vol.118(1-2), (2008), 105–113.

190. R. K. Sharma, J. B. Srivastava, and Manju Khan. The Unit Group of F S3. Acta Math. Acad. Paed. Nyireg.(AMPAN),Vol.23(2), (2007), 129–142.

191. Kanchan Joshi, R. K. Sharma and J.B. Srivastava. ∗-Prime Group Algebras. Commun. Algebra, Vol.35, (2007), 3673–3682

192. S. K. Samanta, U. C. Gupta and R. K. Sharma. Analyzing Discrete Time D-BMAP/G/1/N Queue with Single and Multiple Vacations. European J. Oper. Res., Vol. 182, (2007), 321–339.

193. R. K. Sharma, J. B. Srivastava and Manju Khan. The Unit Group of F A4. Pub. Math. Debrecen, Vol.71/1-2, (2007), 21–26.

194. B. Dhara and R. K. Sharma. Derivations with Annihilator Conditions in Prime Rings. Pub. Math. Debrecen, Vol.71/1-2, (2007), 11–20.

195. U. C. Gupta, S. K. Samanta, R. K. Sharma and M. L. Chaudhry. Discrete- Time Single-Server Finite-Buffer Queues under Discrete Markovian Arrival Process with Vacations. Performance Evaluation, Vol. 64, (2007), 1–19.

196. S. K. Samanta, U. C. Gupta and R. K. Sharma. Analysis of Finite Capacity Discrete-TimeGI/Geo/1 Queueing System with Multiple Vacations. J. Oper. Res. Soc., Vol. 58 (2007), 368–377.

197. R. K. Sharma and Basudeb Dhara. Engel Type Identities with Derivations for Right Ideals in Prime Rings. Mediter. J. Math., Vol.3(1), (2006), 15–29.

198. R. K. Sharma and Basudeb Dhara. An Annihilator Condition on Prime Rings with Derivations. Tamsui Oxford J. Math. Sc., Vol 21 (1), (2005), 71–80. [Q4]

199. R. K. Sharma and Basudeb Dhara. Skew-Commuting and Commuting Mappings in Rings with Left Identity. Resultate der Math., Vol. 46, (2004), 123–129.

200. U. C. Gupta, S. K. Samanta and R. K. Sharma. Computing Queue Length and Waiting Time Distributions in Finite-Buffer Discrete-Time Multi-Server Queues with Late and Early Arrivals Comp. and Math. with Appl., Vol. 48, No.10-11, (2004), 1557–1573.

201. R. K. Sharma and S. Gangopadhyay. On Congruence Subgroups and Units in ZS4, Commun. Algebra, Vol. 32, No.2, (2004), 663–688.

202. R. K. Sharma and S. Gangopadhyay. On Units in ZD8. Pan-Amer. Math. J., Vol. 11, No.1, (2001), 1–9. [Q4]

203. R. K. Sharma, S. Gangopadhyay. On Chains of Units in ZA4. Math. Sci. Res. Hot-Line, Vol. 4, No. 9, (2000), 1–33. [Q4]

204. R. K. Sharma, S. Gangopadhyay. On Units in ZA4. Math. Sci. Res. Hot-Line, Vol. 4, No. 8, (2000), 13–29 [Q4]

205. R. K. Sharma, S. Gangopadhyay and V. Vetrivel. On Units in ZS3. Commun. Algebra, Vol. 25 (1997), 2285–2299.

206. B. Kulshammer and R. K. Sharma. Lie Centrally Metabelian Group Rings in Characteristic 3. J. Algebra, Vol. 180 (1996), 111–120.

207. R. K. Sharma and J. B. Srivastava. Strongly Prime Group Rings. New Zealand J. Math., Vol. 22 (1993), 93–98.

208. R. K. Sharma and J. B. Srivastava. Lie Centrally Metabelian Group Rings. J. Algebra, Vol. 151 (1992), 476–486.

209. R. K. Sharma and V. Bist. A Note on Lie Nilpotent Group Rings. Bull. Austral. Math. Soc., Vol. 45 (1992), 503–506.

210. R. K. Sharma and J. B. Srivastava. On Solvable Lie Ideals of a Ring. C. R. Acad. of Sciences, Vol. 13 (1991), 115–118.

211. R. K. Sharma and J. B. Srivastava. Lie Ideals in Group Rings. J. Pure and Appl. Algebra, Vol. 63 (1990), 67–80.

212. R. K. Sharma and J. B. Srivastava. Lie Solvable Rings. Proc. Amer. Math. Soc., Vol. 94 (1985), 1–8.

(b) In Conferences/ Symposia:

(i) Papers published in the proceedings:

1. R. K. Sharma, Wagish Shukla, S. Ramaswami, A Note On the Structure of F2n with respect to Trace of its Elements, Proceedings of the National Conference & Network Security, VIT University, Vellore (T N), Feb 18- 19, (2009), pp 43-46pdf

2. Kanchan Joshi, R. K. Sharma and J. B. Srivastava, *-Prime and Strongly Prime Radicals of Group Algebras, Contemp. Math. Vol. 456, (2008), 19-26pdf

3. S. K. Samanta U. C. Gupta and R. K. Sharma, on Analysis and Discrete Structures Alternative approach for analyzing Discrete-Time Finite-Buffer Queues with Server Vacations, Proc. of National Seminar on Recent Advances in Applied Mathematics and its Applications, Vidyasagar University, Midnapore, March,18-19, 2004, pp 20-25.

4. R. K. Sharma and Basudeb Dhara, Rings with Involution introduced by a New Product, Mathematical Analysis,ICADS-2002,IIT Kharagpur, Dec 22-24, 2002), Narosa, 2004, pp 206-210.pdf

5. J. B. Srivastava and R. K. Sharma, Associated Lie Algebras of Group Algebras, Lect. Notes in Mathematics, Marcel Dekker, Vol. 91 (1984), 187-197pdf

6. R. K. Sharma, Dhirendra Singh Yadav and Wagish Shukla; On Applications of Singular Matrices over Finite Fields in Cryptography, Lecture Notes in computer Science(LNCS), Vol 7011 (2011), 181-185. pdf

7. R. K. Sharma, Dhirendra Singh Yadav and Wagish Shukla. On Applications of Singular Matrices over Finite Fields in Cryptography. Lecture Notes in computer Science(LNCS), Vol. 7011 (2011), 181–185.

8. Anuradha Sabharwal, Pooja Yadav and R. K. Sharma, A Note on Central Idempotents in Finite Group Rings of Symmetric Groups, Internat. Conference on Algebra nad Related Topics with Applicatios (ICARTA)-19, Aligarh Muslim University, Aligarh, Dec. 17-19, 2019. Vol 392, 277-286, Springer, Singapore.

9. Pramod Kanwar, Meenu Khatker, R. K. Sharma, Basic one sided ideals of Leavitt path algebras over commutative rings, Internat. Conference on Algebra and Related Topics with Applications (ICARTA)-19, Aligarh Muslim University, Aligarh, Dec. 17-19, 2019, Vol 392, 155-165, Springer, Singapore.

10. Gyanendra Kumar Verma and Rajendra Kumar Sharma, Additive Complimentary Dual Codes Over Fq2 , Algebraic and Combinatorial methods for Coing and Cryptography(ALCOCRYPT), CIRM Luminy, Marseille, France, Feb. 20-24, 2023.

(ii) Papers Presented:

1. Swati Sidana and R. K. Sharma, The structure of the unit loops of finite loop algebras of RA2 loops, (Paper Presented at: International Congress of Mathematicians, Seoul, Korea, (August 13-21, 2014).

2. S. Gangopadhyay, A. Joshi, G. Leander and R. K. Sharma, A new construction of bent functions based on Z-bent functions. In: the proceedings of The Seventh International Workshop on Coding and Cryptography 2011. April 11 - 15, 2011, Paris, France, pp.153 - 162.pdf

3. U. C. Gupta, S. K. Samanta and R. K. Sharma, Queue Length and Waiting Time Distributions in Finite Buffer Discrete Time Multi-Server Queue, (Paper Presented at: International Conference APORS-2003, New Delhi, Dec 8-10, 2003).

4. R. K. Sharma, Lie Ideals in Semi Prime Group Rings, (Paper Presented at: International Congress of Mathematicians, Zurich, (August, 1994).pdf

(iii) Technical Reports:

1. R. K. Sharma, On Bicyclic Units, Research Report (No. 322), Universitat Augsburg, Germany (1995)pdf

2. R. K. Sharma, Generalized Ideally Finite Lie Algebras, Research Report, Univ. de Poitiers, France (1986).pdf