Araştırma Makalesi

One–generator quasi–abelian codes revisited

Cilt: 4 Sayı: 1 11 Ocak 2017
PDF İndir
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. [1] S. D. Berman, Semi–simple cyclic and abelian codes. II, Kibernetika 3(3) (1967) 21–30.
  2. [2] S. D. Berman, On the theory of group codes, Kibernetika 3(1) (1967) 31–39.
  3. [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. [4] C. Ding, D. R. Kohel, S. Ling, Split group codes, IEEE Trans. Inform. Theory 46(2) (2000) 485–495.
  5. [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. [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. [7] S. Jitman, S. Ling, Quasi–abelian codes, Des. Codes Cryptogr. 74(3) (2015) 511–531.
  8. [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

Yazarlar

Patanee Udomkavanich Bu kişi benim

Yayımlanma Tarihi

11 Ocak 2017

Gönderilme Tarihi

6 Ocak 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 4 Sayı: 1

Kaynak Göster

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