EN
One–generator quasi–abelian codes revisited
Öz
The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit
characterization and enumeration of such codes are given. An algorithm to find all 1-generator
quasi-abelian codes is provided. Two 1-generator quasi-abelian codes whose minimum distances are
improved from Grassl’s online table are presented.
Anahtar Kelimeler
Kaynakça
- [1] S. D. Berman, Semi–simple cyclic and abelian codes. II, Kibernetika 3(3) (1967) 21–30.
- [2] S. D. Berman, On the theory of group codes, Kibernetika 3(1) (1967) 31–39.
- [3] W. Bosma, J. Cannon, C. Playoust, The Magma algebra system I: The user language, J. Symbolic Comput. 24(3–4) (1997) 235–265.
- [4] C. Ding, D. R. Kohel, S. Ling, Split group codes, IEEE Trans. Inform. Theory 46(2) (2000) 485–495.
- [5] M. Grassl, Bounds on the minimum distance of linear codes and quantum codes, Online available at http://www.codetables.de, Accessed on 2015-10-09.
- [6] S. Jitman, Generator matrices for new quasi–abelian codes, Online available at https://sites.google.com/site/quasiabeliancodes, Accessed on 2015-10-09.
- [7] S. Jitman, S. Ling, Quasi–abelian codes, Des. Codes Cryptogr. 74(3) (2015) 511–531.
- [8] K. Lally, P. Fitzpatrick, Algebraic structure of quasicyclic codes, Discrete Appl. Math. 111(1–2) (2001) 157–175.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
11 Ocak 2017
Gönderilme Tarihi
6 Ocak 2017
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2017 Cilt: 4 Sayı: 1
APA
Jitman, S., & Udomkavanich, P. (2017). One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(1), 49-60. https://doi.org/10.13069/jacodesmath.09585
AMA
1.Jitman S, Udomkavanich P. One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(1):49-60. doi:10.13069/jacodesmath.09585
Chicago
Jitman, Somphong, ve Patanee Udomkavanich. 2017. “One–generator quasi–abelian codes revisited”. Journal of Algebra Combinatorics Discrete Structures and Applications 4 (1): 49-60. https://doi.org/10.13069/jacodesmath.09585.
EndNote
Jitman S, Udomkavanich P (01 Ocak 2017) One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications 4 1 49–60.
IEEE
[1]S. Jitman ve P. Udomkavanich, “One–generator quasi–abelian codes revisited”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 1, ss. 49–60, Oca. 2017, doi: 10.13069/jacodesmath.09585.
ISNAD
Jitman, Somphong - Udomkavanich, Patanee. “One–generator quasi–abelian codes revisited”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/1 (01 Ocak 2017): 49-60. https://doi.org/10.13069/jacodesmath.09585.
JAMA
1.Jitman S, Udomkavanich P. One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:49–60.
MLA
Jitman, Somphong, ve Patanee Udomkavanich. “One–generator quasi–abelian codes revisited”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 4, sy 1, Ocak 2017, ss. 49-60, doi:10.13069/jacodesmath.09585.
Vancouver
1.Somphong Jitman, Patanee Udomkavanich. One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Ocak 2017;4(1):49-60. doi:10.13069/jacodesmath.09585