A modified bordered construction for self-dual codes from group rings
Öz
Anahtar Kelimeler
Kaynakça
- [1] D. Anev, N. Yankov, Self–dual codes of length 78 with an automorphism of order 13, in XVth International Workshop on Optimal Codes and Related Topics, Sofia, Bulgaria, July 2017.
- [2] F. Bernhardt, P. Landrock, O. Manz, The extended Golay codes considered as ideals, J. Combin. Theory Ser. A 55(2) (1990) 235–246.
- [3] J. H. Conway, N. J. A. Sloane, A new upper bound on the minimal distance of self–dual codes, IEEE Trans. Inform. Theory 36(6) (1990) 1319–1333.
- [4] R. Dontcheva, New binary [70; 35; 12] self-dual and binary [72; 36; 12] self-dual doubly-even codes, Serdica Mathematical Journal 24(4) (2001) 287–302.
- [5] S. T. Dougherty, J. Gildea, R. Taylor, A. Tylshchak, Group rings, G-Codes and constructions of self-dual and formally self-dual codes, Des. Codes Crypt. 86(9) (2018) 2115–2138.
- [6] S. T. Dougherty, P. Gaborit, M. Harada, P. Sole, Type II codes over $\mathbb{F}_{2}+u\mathbb{F}_{2}$, IEEE Trans. Inform. Theory 45 (1999) 32–45.
- [7] S. T. Dougherty, M. Harda, T. A. Gulliver, Extremal binary self-dual codes, IEEE Trans. Inform. Theory 43(6) (1997) 2036–2047.
- [8] S. T. Dougherty, B. Yildiz, S. Karadeniz, Codes over $R_k$, Gray maps and their binary images, Finite Fields Appl. 17(3) (2011) 205–219.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Joe Gıldea
Bu kişi benim
United Kingdom
Abidin Kaya
Bu kişi benim
0000-0003-0175-1909
Indonesia
Alexander Tylyshchak
Bu kişi benim
Ukraine
Bahattin Yıldız
Bu kişi benim
0000-0001-8106-3123
United States
Yayımlanma Tarihi
7 Mayıs 2020
Gönderilme Tarihi
19 Şubat 2019
Kabul Tarihi
22 Eylül 2019
Yayımlandığı Sayı
Yıl 2020 Cilt: 7 Sayı: 2
Cited By
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Advances in Mathematics of Communications
https://doi.org/10.3934/amc.2022021A New Method for Constructing Self-Dual Codes over Finite Commutative Rings with Characteristic 2
Mathematics
https://doi.org/10.3390/math12172731New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
Finite Fields and Their Applications
https://doi.org/10.1016/j.ffa.2021.101876