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Academic Publications

Refereed International Journal Papers (SCI & SCI-Expanded)

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  1. S.T. Dougherty, J. Gildea, A. Korban, A. Kaya, "Composite constructions of self-dual codes from group rings and new extremal self-dual binary codes of length 68", to appear in Advances in Mathematics of Communications.

  2. S.T. Dougherty, J. Gildea, A. Kaya, B. Yıldız, "New self-dual and formally self-dual codes from group ring constructions", Advances in Mathematics of Communications, Vol. 14, Issue 1, 11-22, 2020.

  3. J. Gildea, A. Kaya, B. Yıldız, "An Altered Four Circulant Construction for Self-Dual Codes from Group Rings and New Extremal Binary Self-dual Codes I", Discrete Mathematics, Vol. 342, Issue 12, 2019.

  4. S.T. Dougherty, J. Gildea, A. Kaya, "Quadruple bordered constructions of self-dual codes from group rings", Cryptography and Communications, https://doi.org/10.1007/s12095-019-00380-8, 2019.

  5. S.T. Dougherty, J. Gildea, A. Korban, A. Kaya, A. Tylyshchak, B. Yıldız, "Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes", Finite Fields and Their Applications, Vol. 57, 108-127, 2019.

  6. A. Kaya, B. Yıldız, "Constructing formally self-dual codes from block lambda-circulant matrices", Mathematical Communications, Vol. 24, Issue 1, 91-105, 2019. 

  7. 1. J. Gildea, A. Kaya, R. Taylor, B. Yıldız, "Constructions for self-dual codes induced from group rings", Finite Fields and Their Applications, Vol. 51, 71-92, 2018. 

  8. A. Kaya, "New extremal binary self-dual codes of lengths 64 and 66 from R_2-lifts", Finite Fields and Their Applications, Vol. 46, 271-279, 2017. 

  9. S.T. Dougherty, A. Kaya, E.Saltürk, "Cyclic codes over local Frobenius rings of order 16", Advances in Mathematics of Communications, Vol. 11, Issue 1, 99-114, 2017. 

  10. A. Kaya, "New extremal binary self-dual codes of length 68 via short Kharaghani array over F2 + uF2", Mathematical Communications, Vol. 22, Issue 1, 121-131, 2017.

  11. A. Kaya, N. Tüfekçi, "New extremal binary self-dual codes of lengths 66 and 68 from codes over R_k,m" to appear in the Bulletin of the Korean Mathematical Society.

  12. S.T. Dougherty, A. Kaya, E.Saltürk, "Constructions of Self-Dual Codes and Formally Self-Dual Codes over Rings",  AAECC,  DOI 10.1007/s00s00-016-0288-5, 2016.

  13. A. Kaya, B. Yıldız, A. PaÅŸa, "New extremal binary self-dual codes from a modified four circulant construction", Discrete Mathematics, Vol. 339, Issue 3, 1086-1094, 2016.

  14. A. Kaya, B. Yıldız, "Various constructions for self-dual codes over rings and new binary self-dual codes", Discrete Mathematics, Vol. 339, Issue 2, 460-469, 2016.

  15. A. Kaya, B. Yıldız, Ä°. Åžiap, "New extremal binary self-dual codes from F_4+uF_4 lifts of quadratic circulant codes over F_4", Finite Fields and Their Applications, Vol. 35, 318-329 (2015).

  16. A. Kaya, B. Yıldız, Ä°. Åžiap, "On Reed Muller codes over F_2+uF_2 and some applications", Journal of the Franklin Institute, Vol. 351, 751-762 (2014).

  17. Abidin Kaya, Bahattin Yildiz, Irfan Siap, "Quadratic residue codes over Fp + v Fp and their Gray images", Journal of Pure and Applied Algebra, Vol. 218, 1999-2011 (2014).

  18. Abidin Kaya, Bahattin Yildiz, Irfan Siap, "New extremal binary self-dual codes of length 68 from quadratic residue codes over F_2 + uF_2 + u^2F_2", Finite Fields and Their Applications, Vol. 29, 160-177 (2014).

  19. Suat Karadeniz, Abidin Kaya, "New extremal binary self-dual codes of length 58 as R3-lifts from the shortened [8,4,4] binary Hamming code", Journal of the Franklin Institute-Enginnering and Applied Mathematics, Vol. 349, 2824-2833 (2012).

Refereed International Journal Papers

 

  1. B. Yıldız, A. Kaya, "Self-dual codes over Z_4[x]=(x^2+2x) and the Z_4-images", International Journal of Information and Coding Theory, Vol. 5, No. 2, pp. 142-154, 2018.

  2. I. Aydogdu, A. Kaya, "On Self-dual Z_2 Z_2 [u]-linear codes ", Mathematical Sciences and Applications E-notes, Vol. 5, No. 2, 69-75, 2017.

  3. A. Batoul, K. Guenda, A. Kaya and B. Yıldız, “Cyclic isodual and formally self-dual codes over F_q+vF_q”, European Journal of Pure and Applied Mathematics, vol. 8, no. 1, pp.64-80, 2015.

  4. A. Kaya, B. Yıldız, "New extremal binary self-dual codes of length 68", Journal of Algebra Combinatorics Discrete Structures and Applications, 1, 31-42 (2014)

Conference Proceedings (Short abstracts)

 

  1. A. Kaya, "DNA computing via codes over various alphabets", BASIC, 18-19 August 2017, Universitas Indonesia, Depok, Indonesia. (Invited talk Keynote speaker).

  2. Ä°. AydoÄŸdu, A. Kaya, "Self-dual Z_2Z_2[u]-linear codes", NCRA Noncommutative rings and their applications IV, 8-11 June 2015, University of Artois, Lens, France.

  3. A. Kaya, "New extremal binary self-dual codes from cubic planar bipartite graphs", LICMA 15, 26-29 May 2015, Beirut, Lebanon.

  4. A. Kaya, "F_4 üzerine kodlar ve quantum kodlar", 10. Ankara matematik günleri, ODTÜ, Ankara, 2015.

  5. A. Kaya, B. Yıldız, "Extension Theorems for self-dual codes over rings and new binary self-dual codes", ICM 2014 Satellite conference on algebraic coding theory , ICM 2014 Satellite conference on algebraic coding theory abstract book, 5-6, Seoul-South Korea, (2014).

  6. Abidin Kaya, Bahattin Yıldız, Ä°rfan Åžiap, "Quadratic Residue Codes over F_p+vF_p", International Conference on Algebra in honour of Patrick Smith and John Clark's 70th birthdays, Balıkesir, Turkey, (2013)

  7. Abidin Kaya, Bahattin Yıldız, Ä°rfan Åžiap, "New extremal and optimal binary self-dual codes from quadratic residue codes over F_2+uF_2+u^2F_2", Algerian Turkish International days on Mathematics 2013, ATIM 2013,  Ä°stanbul, TURKEY, (2013).

  8. Abidin Kaya, Bahattin Yıldız, Ä°rfan Åžiap, "Extending Reed Muller Codes to Fâ‚‚+uFâ‚‚", International Conference on Applied Analysis and Algebra , Ä°stanbul-TURKEY, (2011).

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