Publications

Copyright

The copyright for all of these works belongs to the publisher of the appropriate journal. The versions posted here (which differ from the published versions) are for non-commercial, personal use only.

Publications

1. "Bordered Constructions of Self-Dual Codes from Group Rings and New Extremal Binary Self-Dual Codes"

with S.T. Dougherty, J. Gildea, A. Kaya, A. Tylyshchak and B. Yildiz, Finite Fields and Their Applications, Vol. 57, 2019, 108-127,

doi: https://doi.org/10.1016/j.ffa.2019.02.004.

2. "Composite Constructions of Self-Dual Codes from Group Rings and New Extremal Self-Dual Binary Codes of length 68"

with S.T. Dougherty, J. Gildea and A. Kaya, Advances in Mathematics of Communications, Vol. 14 (4), 2020, 677-702,

doi: 10.3934/amc.2020037.

3. "G-codes over Formal Power Series Rings and Finite Chain Rings"

with S.T. Dougherty and J. Gildea, Journal of Algebra Combinatorics Discrete Structures and Applications, Vol. 7 (1), 2020, 55-71,

doi: 10.13069/jacodesmath.645026.

4. "Constructing Self-Dual Codes from Group Rings and Reverse Circulant Matrices"

with J. Gildea, A. Kaya and B. Yildiz, Advances in Mathematics of Communications, Vol. 15 (3), 2021, 471-485,

doi: 10.3934/amc.2020077.

5. "New Extemal Self-Dual Codes of Length 68 via Composite Construction, F_2+uF_2 Lifts, Extensions and Neighbors"

with S.T. Dougherty, J. Gildea and A. Kaya, International Journal of Information and Coding Theory, Vol. 5 (3/4), 2020, 211-226,

doi: 10.1504/IJICOT.2020.10032812.

6. "New Extremal Binary Self-Dual Codes of Length 68 from Generalized Neighbors"

with J. Gildea, A. Kaya and B. Yildiz, Finite Fields and Their Applications, Vol. 67, 2020,

doi: https://doi.org/10.1016/j.ffa.2020.101727.

7. "Self-Dual Codes using Bisymmetric Matrices and Group Rings"

with J. Gildea, A. Kaya and A. Tylyschak, Discrete Mathematics, Vol. 343 (11), 2020,

doi: https://doi.org/10.1016/j.disc.2020.112085.

8. "New Self-Dual Codes of Length 68 from a 2 by 2 Block Matrix Construction and Group Rings"

with M. Bortos, J. Gildea, A. Kaya and A. Tylyshchak, Advances in Mathematics of Communications,

doi: 10.3934/amc.2020111.

9. "Self-Dual Additive Codes"

with S.T. Dougherty and S. Sahinkaya, Applicable Algebra in Engineering, Communication and Computing,

doi: https://doi.org/10.1007/s00200-020-00473-5.

10. "Composite G-Codes over Formal Power Series Rings and Finite Chain Rings"

Journal of Algebra Combinatorics Discrete Structures and Applications,

doi: https://doi.org/10.13069/jacodesmath.935951.

11. "Extending an Established Isomorphism between Group Rings and a Subring of the n by n Matrices"

with S.T. Dougherty and J. Gildea, International Journal of Algebra and Computation,

doi: https://doi.org/10.1142/S0218196721500223.

12. "Group Matrix Ring Codes and Constructions of Self-Dual Codes"

with S.T. Dougherty, S. Sahinkaya and D. Ustun, Applicable Algebra in Engineering, Communication and Computing,

doi: https://doi.org/10.1007/s00200-021-00504-9.

13. "G-Codes, Self-Dual G-Codes and Reversible G-Codes over the Ring B_{j,k}"

with S.T. Dougherty, J. Gildea and S. Sahinkaya, Cryptography and Communications,

doi: https://doi.org/10.1007/s12095-021-00487-x.

14. "Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes"

with S.T. Dougherty, J. Gildea and A. Kaya, Designs, Codes and Cryptography,

doi: https://doi.org/10.1007/s10623-021-00882-8.

15. "Additive Skew G-Codes over Finite Fields"

with S.T. Dougherty, S. Sahinkaya and D. Ustun, Applicable Algebra in Engineering, Communication and Computing,

doi: https://doi.org/10.1007/s00200-021-00515-6.

16. "New Binary Self-Dual Codes of Lengths 56, 58, 64, 80 and 92 from a Modification of the Four Circulant Construction"

with J. Gildea and A. M. Roberts, Finite Fields and Their Applications,

doi: https://doi.org/10.1016/j.ffa.2021.101876.

17. "New Type I Binary [72,36,12] Self-Dual Codes from Composite Matrices and R_1 Lifts"

with S. Sahinkaya and D. Ustun, Advances in Mathematics of Communications,

doi: 10.3934/amc.2021034.

18. "New Singly and Doubly Even Binary [72,36,12] Self-Dual Codes from M_2(R)G - Group Matrix Rings"

with S. Sahinkaya and D. Ustun, Finite Fields and Their Applications,

doi: https://doi.org/10.1016/j.ffa.2021.101924.

19. "Reversible G-Codes over the Ring F_{j,k} with Applications to DNA Codes"

with Y. Cengellemis, A. Dertli, S.T. Dougherty, S. Sahinkaya and D. Ustun, Advances in Mathematics of Communications,

doi: 10.3934/amc.2021056.

20. "New Binary Self-Dual Codes of Lengths 80, 84 and 96 from Composite Matrices"

with J. Gildea and A.M. Roberts, Designs, Codes and Cryptography,

doi: 10.1007/s10623-021-00976-3.

21. "Mutation-Based Algebraic Artificial Bee Colony Algorithm for Computing the Distance of Linear Codes"

with S. Sahinkaya and D. Ustun, to appear in the Turkish Journal of Mathematics and Computer Science.

22. "Binary Self-Dual Codes of Various Lengths with New Weight Enumerators from a Modified Bordered Const. and Neigh."

with J. Gildea, A. M. Roberts and A. Tylyshchak, Advances in Mathematics of Communications,

doi: 10.3934/amc.2022021.

23. "Maximal EAQEC Codes from the Skew Group Ring F_4 x G by a Heuristic Search Scheme"

with S. Sahinkaya and D. Ustun, Quantum Information Processing,

doi: 10.1007/s11128-022-03500-1.

24. "New Type I Binary [72,36,12] Self-Dual Codes from M_6(F_2)G - Group Matrix Rings by a Hybrid Search Technique..."

with S. Sahinkaya and D. Ustun, Advances in Mathematics of Communications,

doi: http://dx.doi.org/10.3934/amc.2022032.

25. "A Novel Genetic Search Scheme Based on Nature-Inspired Evolutionary Algorithm for Self-Dual Codes"

with S. Sahinkaya and D. Ustun, Advances in Mathematics of Communications,

doi: http://dx.doi.org/10.3934/amc.2022033.

26. "Binary Self-Dual and LCD Codes from Generator Matrices Constructed from Two Group Ring Elements by a Heuristic..."

with S.T. Dougherty, S. Sahinkaya and D. Ustun, Advances in Mathematics of Communications,

doi: http://dx.doi.org/10.3934/amc.2022036.

27. "Reversible G^k-Codes with Applications to DNA Codes"

with S. Sahinkaya and D. Ustun, Designs, Codes and Cryptography,

doi: https://doi.org/10.1007/s10623-022-01067-7.

28. "Group LCD and Group Reversible LCD Codes"

with S. T. Dougherty, J. Gildea and A. M. Roberts, Finite Fields and Their Applications,

doi: https://doi.org/10.1016/j.ffa.2022.102079.

29. "DNA Codes from Skew Dihedral Group Rings"

with S.T. Dougherty, S. Sahinkaya and D. Ustun, to appear in Advances in Mathematics of Communications.

30. "Construction of DNA Codes from Composite Matrices and a Bio-Inspired Optimisation Algorithm"

with S.T. Dougherty, S. Sahinkaya and D. Ustun, to appear in IEEE Transactions on Information Theory.

31. "An Application of a Virus Optimization Algorithm to the Problem of Computing Binary Self-Dual and LCD Codes"

with S. Sahinkaya and D. Ustun, to appear in Advances in Mathematics of Communications.

32. "Extremal binary self-dual codes from a bordered four circulant construction",

with J. Gildea, A. M. Roberts and A. Tylyshchak, to appear in Discrete Mathematics.

33. "DNA Codes from Reversible Group Codes by a Virus Optimisation Algorithm", with S. Sahinkaya and D.Ustun, to appear in the Turkish Journal of Mathematics and Computer Science.

34. "The weight enumerators of singly-even self-dual [88,44,14] codes and new binary self-dual [68,34,12]

and [88,44,14] codes", with J. Gildea and A.M. Roberts, to appear in Finite Fields and Their Applications.

The following are in submission

35. "New Extremal Binary Self-Dual Codes of Length 72 from Composite Group Matrix Rings and the Neighbour Method Integrated to the Virus Optimisation Algorithm",

with S. Sahinkaya and D. Ustun.

36. "DNA Codes from Reversible Group Matrix Ring Codes and Bisymmetric Matrices", with S. Sahinkaya and D. Ustun.

37. "Codes over a ring of order 32 with two Gray maps" with S.T. Dougherty, J. Gildea and A.M. Roberts.