Publications

Category wise Details of Research Papers Published.

(a) In Journals:

Papers Authored/Coauthored

1. 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 (2025), no. 1, 1–23.

2. N. Abhilash, E. Nandakumar, G. Mittal, and R. K. Sharma. Units of the semisimple group algebras of groups of order 162. Matematicki Vesnik, 77 (2025), no. 1, 79–94.

3. 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 

4. R. K. Sharma, Kapish Chand Meena, Ambarish Awasthi, Double-twisted Reed-Solomon codes with twists (1, 3) and general hooks over finite fields, Cryptography Communications. DOI: https://doi.org/10.1007/s12095-025-00822-6

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

6.  Soniya Takshak, GiorgosKapetanakis, Rajendra Kumar Sharma, Fq- primitive points on varities over finite fields, Finite Fields and Their Applications, (2025), 103, p.102582. [IF: 1.0; MCQ: 1.03; SJR: Q1; SCI, SCOPUS].

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

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

9. R.K.Sharma, Amit B Singh, Unit Nil-clean and Singular Clean Group Rings. Czechoslovak Math. J(2025). Vol.(75) 645-653.

10. Navamaniranjan Abhilash, Aelumalai Nanadakumar, Kattankulathur, Rajendra Kumar Sharma and Gaurav Mittal, Sturcture of the unit group of the group algebra of non-metabelian groups of order 128, Math. Bohemia. doi: 10.21136/MB.2024.0017-23.

11. Sandeep Malik, R. K. Sharma, The structure of the unit group of F_{3^k}(C3 * D2n) and finite group algebras of groups of order 42, International Electronic Journal of Algebra. Vol. (37) 366-384 (2025)  dOI: 10.24330/IEJA.1571446.

12. Sandeep Malik, R. K. Sharma, Meena Sahai, The structure of the unit group of the group algebras F3 kD6n and FqD42, Annales Mathematicae et Informaticae. Vol. (60) 98-107 (2024) doi: 10.33039/ami.2024.08.001. 

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

14. Praveen Manju, R.K. Sharma, (σ, τ )-Derivations of Group Rings with Applications, Finite Fields and Their Applications Vol. 107 (2025) :102629 (74 pages).

15. Praveen Manju, R.K. Sharma, Inner and Outer twisted derivations of cyclic group algebra, Results in Mathematics. Vol.(80)26.  (2025) 102629 [IF: 1.10; SJR: Q2, SCI, Scopus]

16. Praveen Manju, R.K. Sharma, Derivations of non-commutative group algebras, Journal of Algebra and its applications https://doi.org/10.1142/S0219498825503712. [IF: 0.77; SJR: Q2, SCI, Scopus]

17. Sonamani Sahoo, R. K. Sharma, On θ- congruent numbers over real quadratic and multi quadratic number fields, Asean European J Math (To appear).

18. Gyanendra Kumar Verma, R.K. Sharma, Trace dual of additive cyclic codes over finite fields, Cryptography and Communications. Vol 16:1593–1608 (2024).  [IF: 1.3;MCQ: 0.84; SJR: Q1, SCI, Scopus]

19. 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. [IF: 0,42; SCI, Scopus]

20. Anuradha Sabharwal, Pooja Yadav and R. K. Sharma, Association Schemes in Encrypting two dimensional data, Journal of discrete mathematical sciences and Cryptography Vol. 28 (2025), No. 1, pp. 161–183. [IF: 1.76; SJR: Q2, SCI, Scopus]

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

22. Praveen Manju, Rajendra Kumar Sharma, Inner and Outer derivations of FV8n, Advances in group theory and applications, (To appear).

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

24. 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.

25. Pramod Kanwar, Yogesh Kumar and R. K. Sharma, A note on the structure of FqS5/J(FqS5), (revised version submitted).

26. Yogesh Kumar and R. K. Sharma, A note on the Jacobson radical J(F2nD2m), Ukrainian Mathematical Journal. Vol. 76, No. 8 (2025).

27. R. K. Sharma and Yogesh Kumar, The unit group of the group algebra FqD36, Iranina J Math, Vol. 1 (2024), 45-53.

28. Sivaranjani N. U., E. Nandakumar, Gaurav Mittal, R. K. Sharma, On the unit group of the semisimple group algebra KqGL(2, Z5), Journal of Interdisciplinary Mathematics. Volume 27,2024. pp:121-134.

29. Sivaranjani N. U., E. Nandakumar, Gaurav Mittal, R. K. Sharma, Unit group of the group algebra KqGL(2, 7)”, Armenian Journal of Mathematics. Volume 16, Number 3, 2024, 1–14

30. 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. Volume 16, Number 3, 2024, 1–14.

31. Astha Agrawal and R.K. Sharma, ACD codes over skew-symmetricdualities, Cryptography and Communications, 2024. Vol. (16) 1013-1032.

32. 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.

33. R. K. Sharma and Abhinay Kumar Gupta, Characterization of the unit group of the integral groupring Z[G × Cn2], Journal of Algebra and its Applications. Vol. 24, No. 02, 2550064 (2025).

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

35. 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).

36. R. K. Sharma, Yogesh Kumar, D. C. Mishra, The Unit Group Of The Group Algebra Fq(Z9 × Z3), Ukrainian J Math.

37. 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

38. 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.

39. 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.

40. Astha Agrawal, Gyanendra K. Verma and R. K. Sharma, Galois LCD Codes Over Fq + uFq + vFq + uvFq, Bull. Austral. Math. Soc. Vol. 107(2) (2022) (12 pages), DOI: 10.1017/S0004972722001344.pdf. link..

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

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

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

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

45. 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.pdf. link.

46. .Pooja Gahlyan, Reto Schnyder, R. K. Sharma, A Class of Permutation Polynomials over the Group Ring FpCpn (To appear in Journal of Algebra, Combinatorics, Discrete Structures and Applications (JACODES)). link.

47. .Gaurav Mittal, R. K. Sharma, Wedderburn decomposition of a semi simple group algebra FqG from a subalgebra of a factor group of G, International Electronic Journal of Algebra (IEJA)), Vol. 32, (2022), 91-100. pdf. link.

48. 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.pdf. link.

49. 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).pdf. link.

50. 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-.pdf. link..

51. 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.pdf. link.

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

53. 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. pdf. link.

54. 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)

55. 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). pdf. link.

56. 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. pdf. link.

57. Meena Sahai, Parvesh Kumari, R. K. Sharma. Presentations Of general linear Groups with Jordan regular generators, Plastenian J Maths, Vol. 11(1), (2022). pdf.

58. 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, V0l. 8(2), (2021), 59-71. pdf.

59. 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)pdf.

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

61. Stephen D. Cohen, Hariom Sharma, Rajendra Sharma. Primitive Values of Rational Functions at Primitive Elements of a Finite Field, Journal of Number Theory, 2020. link.pdf.

62. 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).pdf.

63. Pravesh Kumari, Meena Sahai and R. K. Sharma. Jordan Regular Units in Rings and Group Rings (To appear in Ukrainian Mathematical Journal) pdf.

64. Chirag Garg and R. K. Sharma, On Multiplicative Generalized (α, β)- Derivations in Prime Rings, (To appear in Ukrainian Mathematical Journal)(12 pages)pdf.

65. 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), 429-455pdf.

66. Swati Maheshwari and R. K. Sharma. A note on Units in FqSL(2, Z3), Ukrainian Mathematical Journal, (2020), Vol.45 (7 pages))pdf.

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

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

69. Pramod Kanwar, Meenu Khatkar, and R. K. Sharma.On Leavitt path algebras over commutative rings,International Electronic Journal of Algebra, Vol.26 (2019), 191-203.pdf.

70. Ambrish Awasthi and Rajendra K. Sharma. Primitive transformation shift registers over Finite Fields, Algebra and its Applications,(2019) 1950171 (16 pages),DOI: 10.1142/S0219498819501718. pdf. link.

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

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

73. R.K.Sharma, Anju. Pair of Primitive Elements with Prescribed Traces over Finite Fields, Communications in Algebra, DOI 10.1080/00927872,2018,1503283pdf..

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

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

76. R. K. Sharma, B. Dhara, C. Garg. A Result Concerning Generalised Derivations on Multilinear Polynomials in Prime Rings,Rendiconti del Circolo Matematico di Palermo,DOI.10.1007/s12215-018-0357-7pdf..

77. 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).pdf.. link.

78. 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. link.

79. S. K. Tiwari and R. K. Sharma. On Lie ideals with generalised (\alpha,\alpha)-derivation in prime rings. Rend. Circ. Mat. Palermo, II. Ser (2018), DOI 10.1007/s12215-018-0329-y.pdf..

80. 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). link..

81. Rohit Gupta, R. K. Sharma. Further results on permutation polynomials of the form (xpm-x+delta)s+x over Fp2m. Finite Fields and Their Applications. 50 (2018) 196-208.link.

82. 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). pdf..link..

83. Chirag Garg, R. K. Sharma. A note on annihilator conditions in prime rings. Rend. Circ. Mat. Palermo, II. Ser, DOI 10.1007/s12215-017- 0305-y.link..

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

85. Dinesh Udar, R. K. Sharma and J. B. Srivastava, Restricted Boolean group rings ,Archivum Mathematicum, Volume 53 (2017), 155–159.pdf.

86. R. K. Sharma, Reetu Siwach and M. Sahai, Group algebras of Lie nilpotency index 12 and 13, Comm. Algebra, Vol. 46, Issue 4 (2018), 1428-1446. link.

87. Chirag Garg, Vishal Kr. Yadav, R. K. Sharma, A note on generalized (alpha, beta)-derivation (to appear in Southeast Asian Bull. Math. J.). pdf.

88. Anju, R. K. Sharma, Existence of Some Special Primitive Normal Elements over Finite Fields , Finite Fields and Their Applications, Vol. 46, 2017, 280-303.link.

89. 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). pdf..link.

90. 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. pdf.

91. Yogesh Kumar, P. R. Mishra, and R. K. Sharma, Non-Linearity of k-Cycle Permutations over Zn, Asian European Journal of Mathematics, Vol. 11, No. 1 (2018) 1850020 (13 pages). pdf.

92. Dinesh Udar, R. K. Sharma and J. B. Srivastava, Strongly P-Clean and semiboolean group rings (to appear in Ukrainian Mathematical Journal). pdf

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

94. Dinesh Udar, R. K. Sharma and J. B. Srivastava, Commutative Neat group rings, Communications in Algebra, Vol. 45, No. 11, 2017, 4939-4943.link

95. 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).pdf.link.

96. 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, Issue 1 (2018), 81-94. link.

97. Yogesh Kumar, R. K. Sharma and J. B. Srivastava, The structure group of the unit group of the group algebra FS5 , where F is a finite field with char(F)=p>5 (to appear in Acta Matematica Academie Paedagogiace Nyíregyháziensis).pdf

98. 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, Issue 3 (2017). link.

99. S.K.Tiwari, R. K. Sharma, Derivations vanishing identities involving generalised derivations and multilinear polynomials in prime rings, Mediterr. J. Math. DOI 10.1007/s00009-017-1009-41660-5446/17/050001-23,(2017). link.

100. D. C. Mishra, 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. 46,2016, 213234. l nk.

101. Parvesh Kumari and R. K. Sharma, Unit group of Z2D10 , Int. J. Algebra, Vol. 9, no. 4, 2015, 179-183. pdf

102. S. K. Tiwari, R. K. Sharma and B. Dhara, Derivations vanishing on commutators with generalise derivation of order 2 in prime rings, Communications in Algebra, VOL. 45, NO. 8, 3542–3554, 2017. link

103. V. K. Yadav and R. K. Sharma, On additive mappings in rings with identity element, Rend. Circ. Mat. Palermo, II. Ser., Vol.66, Issue 3 (2016), 355-360. link

104. V. K. Yadav and R. K. Sharma, Skew n-derivations on prime, and semiprime rings, Ann. Uni. Ferr.,Vol. 63, Issue 2 (2016), 391-402. link

105. Reetu Siwach, R. K. Sharma and M. Sahai, Strongly Lie solvable group algebras of derived length 4, Beitr Algebra Geom, 2016, DOI 10.1007/s13366-016-0291-9. link

106. V. K. Yadav, S. K. Tiwari and R. K. Sharma, Generalized derivations on Lie ideals in prime rings, Asian-European Journal of Mathematics, 2016, Vol. 10, Issue 2 (2017),1750032(6 pages). pdf.link.

107. Harish Sahu, Indivar Gupta, N.Rajesh Pillai, Rajendra Sharma, BDD based Cryptanalysis of Stream Cipher: A Practical Approach, IET Information Security, Vol. 11,Issue 3 (2017), 159-167. link

108. R. K. Sharma, B. Prajapati, Generalized derivations and commutativity of prime Banach algebras, Beitr Algebra Geom., DOI: 10.1007/s13366-016-0306-6. pdf

109. Sachin Kumar, Rajendra K. Sharma, Securing color images using Two-square cipher associated with Arnold map, Multimed Tools Appl .,Vol. 76,Issue 6 (2017),8757-8779. pdf

110. Reetu Siwach, R. K. Sharma and M. Sahai, On the Lie Nilpotency Indices of Modular Group Algebras, Beitr Algebra Geom., Vol.58, Issue 2 (2016), 355-367. link

111. 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. pdf.link.

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

113. S. K. Tiwari, R. K. Sharma, B. Dhara, Multiplicative (generalized)-derivation in semiprime rings, Beitr Algebra Geom, Vol. 58, No. 1 (2017) link

114. Rohit Gupta, R. K. Sharma, Some new classes of permutation trinomials over finite fields with even characteristic , Finite Fields Appl., Vol. 41, 89-96, 2016. link

115. Yogesh Kumar, N. R. Pillai, R. K. Sharma, On the Number of Integer Recurrence Relations , Defence Sci. J., Vol. 66, No. 6, 2016, pp. 605-611. pdf

116. Reetu Siwach, R. K. Sharma and M. Sahai, Modular group algebras with small Lie nilpotency indices, Asian-European Journal of Mathematics, Vol. 9, No. 2 (2016), 1650080-1- 1650080-15. pdf. link.

117. Swati Maheshwari, R. K. Sharma, The unit group of group algebra FqSL(2,Z3), J.Algebra Comb. Discrete Appl., Vol. 3(1), (2016), 1-6. pdf.link.

118. Swati Sidana, R. K. Sharma, Units in finite loop algebras of RA2 loops, Asian European J. Math., Vol. 9(1), (2016) 1650026-1-1650026-11.. pdf.link.

119. Anju, R. K. Sharma, A note on the distribution of self-dual normal bases generators of finite fields under trace map, Beitr Algebra Geom., Vol. 57,Issue 3 (2016), 573-578. link

120. Rohit Gupta, R. K. Sharma, On permutation polynomials over finite fields of characteristic 2, J. Algebra Appl., Vol. 15(7), (2016), 1650133- 1-1650133-7.. link

121. Dinesh Udar, R. K. Sharma and J. B. Srivastava, Restricted perfect group rings, Communications in Algebra, vol. 44 (2016), 4097-4103. link

122. 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.link

123. 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). pdf.link.

124. 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, Issue 23 (2015),3812-3822. pdf

125. 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(1), (2016),68-76. pdf

126. Neha Makhijani, R. K. Sharma and J. B. Srivastava, A note on the structure of FpkA5/J(FpkA5) , Acta Sci. Math. (Szeged), Vol. 82(1-2) , (2016), 29-43..pdf

127. Chirag Garg, R. K. Sharma, On generalized (\alpha, \beta)-derivations in prime rings, Rend. Circ. Mat. Palermo, Vol.65,Issue 2(2016), 175-184. link

128. Shailesh Kumar Tiwari, Rajendra K. Sharma, Basudeb Dhara, Identities related to generalized derivation on ideal in prime rings, Beitr Algebra Geom,Vol. 57, Issue 4 (2016), 809-821.link

129. Neha Makhijani, R. K. Sharma and J. B. Srivastava, The unit group of some special semisimple group algebras , Quaestiones Mathematicae,Vol. 39,Issue 1 (2016), 9-28.link

130. Neha Makhijani, R. K. Sharma and J. B. Srivastava, Units in finite dihedral and quaternion group algebtras, J. Egyptian Math. Soc., Vol. 24, (2016), 5-7. link

131. Neha Makhijani, R. K. Sharma and J. B. Srivastava, Units in Fqk(CprCq), International Electronic Journal of Algebra, vol. 18 (2015), 21-33.pdf.link.

132. Neha Makhijani, R. K. Sharma and J. B. Srivastava, The unit group of Fq[D30], Serdica Math. J. Vol. 41 (2015).pdf

133. Sachin Kumar, Rajendra Kumar Sharma, Random-grid based region incrementing visual secret sharing, Fundamenta Informaticae 137 (2015) 1–18 DOI 10.3233/FI-2015-1180.pdf.link.

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

135. 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.pdf

136. Neha Makhijani, R. K. Sharma and J. B. Srivastava, On the Order of Unitary Subgroup of the Modular Group Algebra F2kD2N, Journal of Algebra & its Applications, Vol. 14, No. 8 (2015). link

137. 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, DOI: 10.1142/S0219691314500404 (2014). pdf.link.

138. 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, Issue 4 (2014), 1450011(16 pages). pdf

139. Neha Makhijani, R. K. Sharma and J. B. Srivastava, Structure of some classes of semi-simple group algebras over finite fields, Bull. Korean Math. Soc, 51(6), (2014), 1605-1614. pdf.link.

140. Neha Makhijani, R. K. Sharma and J. B. Srivastava, A note on units in FpmD2pn, Acta Math. Acad. Paed. Nyireg.(AMAPN), Vol. 30,(2014), 17-25. link

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

142. 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, DOI: 10.1142/S1793557114500430 (2014). pdf

143. 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. pdf

144. Neha Makhijani, R. K. Sharma and J. B. Srivastava, Units in F2kD2n, Int. J. Group Theory, vol 3, no. 3 (2014) 25-34. link

145. Neha Makhijani, R. K. Sharma and J. B. Srivastava, The unit group of algebra of circulant matrices, Int. J. Group Theory, Vol 3, no. 4 (2014) 13-16. link

146. 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(2), (2014), 1450034-1-1450034-5. link

147. Manish Kumar, D. C. Mishra, and R. K. Sharma, A first approach on an RGB image encryption, Optics and laser engineering, Vol 52, (2014) 27-34. pdf

148. 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 pdf

149. 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.pdf

150. D. C. Mishra and R. K. Sharma, Gray scale image encryption using Random Hill cipher over $SL_n (F)$ associated with discrete wavelet transformation, Application and Applied Mathematics, Vol. 8, No. 2 (2013), 777-791 pdf

151. Swati Sidana and R. K. Sharma, The unit loop of finite loop algebras of loops of order 32 , Beitr Algebra Geom, Vol.56, Issue 1 (2015), 339-349. pdf

152. R. K. Sharma and Pooja Yadav, Unit Group of Algebra of Circulant Matrices, Int J Group Theory, Vol 2, No. 4,(2013) pp.1-6. pdf

153. Sugata Gangopadhyay, Anand Joshi, Gregor Leander and R. K. Sharma, A new construction of bent functions based on Z-bent functions, Des. Codes Cryptogr. (2013) 66:243–256pdf

154. 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).pdf

155. Sachin Kumar and R. K. Sharma, Recursive Information Hiding of Secrets by Random Grids, Cryptologia, Vol 37,Issue 2 (2013), 154-161. pdf.link.

156. 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,Volume 4 No. 2 2012, 59-70. pdf

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

158. Anand Joshi and R. K. Sharma, On some classes of Z-bent functions, Int J of computer science and information technologies, Vol. 3,Issue 3 (2012) 4005- 4009. pdf. link.

159. 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, 9-28. pdf

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

161. 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. pdf

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

163. R. K. Sharma, Wagish Shukla, S. Ramasamy,On Trace and Structure of F2n, J. Commun. & Computers, Vol. 8, (2011), pp 329-334 pdf

164. B. Dhara, Vincenzo De Filippis and R. K. Sharma, Generalized derivations and left multipliers on Lie ideals, Aequat. Math.,vol. 81 (2011), 251-261pdf

165. R. K. Sharma, Pooja Yadav, Pramod Kumar, Lie Regular generators of general linear groups, Commun. Algebra, Vol. 40, Issue 4(2012), 1304–1315,pdf

166. 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), 255-264pdf

167. 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), 425-427pdf

168. R. K. Sharma, Wagish Shukla, S. Ramasamy, A Public Key Cryptography from Linear algebra, Sekhar(New Series) Int. J. Math. Vol. 1,Issue 1 (2009), 23-27pdf.link.

169. Rajendra Sharma, Sudesh Shah, The Maximal Semi Regular Ideal of Rings and Group Rings, Lobachevskii J Math., Vol. 31,No. 1 (2010), 51-59.pdf

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

171. Kanchan Joshi, R. K. Sharma and J. B. Srivastava, *-Prime Group Rings, J. Algeb.& Appl. Vol. 8,No. 6 (2009), 797-803pdf

172. B. Dhara and R. K. Sharma, On Additive Mappings in Rings with Identity Element, Int. Math. Forum Vol. 4,No. 15 (2009), 727-732.pdf

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

174. 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), 243-257pdf

175. R. K. Sharma and Pooja Yadav, The Unit group of ZpQ8, Algebras, Groups and Geometries, Vol. 24, (2008), 425-430pdf

176. R. K. Sharma, B. Prajapati and S. K. Shah, N-Additive Mapping, Algebras, Groups and Geometries, Vol. 25, (2008), 401-412pdf

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

178. 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), 813-836pdf

179. 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- 153pdf

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

181. 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, 91-100pdf

182. 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), 219-234pdf.link.

183. R. K. Sharma, J. B. Srivastava, and Manju Khan, The Unit Group of FS4, Acta Math Hungar, Vol.118(1-2), (2008), 105-113pdf

184. R. K. Sharma, J. B. Srivastava, and Manju Khan, The Unit Group of FS3, Acta Math. Acad. Paed. Nyireg.(AMPAN),Vol.23(2), (2007), 129- 142pdf

185. Kanchan Joshi, R. K. Sharma and J.B. Srivastava, *-Prime Group Algebras, Commun. Algebra, Vol.35, (2007), 3673-3682pdf.link.

186. 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), 321-339pdf

187. R. K. Sharma, J. B. Srivastava and Manju Khan, The Unit Group of FA4,Pub.Math. Debrecen, Vol.71/1-2, (2007), 21-26.pdf.link.

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

189. 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.pdf

190. 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.pdf.link.

191. 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.pdf

192. 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.pdf

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

194. 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.pdf

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

196. R. K. Sharma and S. Gangopadhyay, On Units in ZD8, Pan-Amer. Math. J., Vol. 11, No.1, (2001), 1-9.pdf

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

198. R. K. Sharma, S. Gangopadhyay, On Units in ZA4, Math. Sci. Res. Hot-Line, Vol. 4, No. 8, (2000), 13-29.pdf

199. R. K. Sharma, S. Gangopadhyay and V. Vetrivel, On Units in ZS3, Commun. Algebra, Vol. 25,No. 7, (1997), 2285-2299.pdf.link.

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

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

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

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

204. R. K. Sharma and J. B. Srivastava, On Solvable Lie Ideals of a Ring, C. R. Acad. of Sciences, Vol. 13, No. 2-3 (1991), 115-118.pdf

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

206. R. K. Sharma and J. B. Srivastava, Lie Solvable Rings, Proc. Amer. Math. Soc., Vol. 94,No. 1 (1985), 1-8.pdf

(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