Performance of ternary double circulant, double twistulant, and self-dual codes

被引：0
作者：
T. Aaron Gulliver
Masaaki Harada
机构：
[1] University of Victoria,Department of Electrical and Computer Engineering
[2] Tohoku University,Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences
来源：
Applicable Algebra in Engineering, Communication and Computing | 2017年 / 28卷
关键词：
Double circulant code; Double twistulant code; Self-dual code; Decoding error probability; 94B05; 94B70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the performance of ternary isodual codes which are not self-dual and ternary self-dual codes, as measured by the decoding error probability with bounded distance decoding. We compare the performance of ternary double circulant and double twistulant codes which are not self-dual with ternary extremal self-dual codes. We also investigate the performance of ternary self-dual codes having large minimum weights.
引用
收藏
页码：409 / 424
页数：15
相关论文
共 30 条
  • [1] Beenker GFM(1984)A note on extended quadratic residue codes over GF(9) and their ternary images IEEE Trans. Inform. Theory 30 403-405
  • [2] Bosma W(1997)The Magma algebra system I: the user language J. Symbol. Comput. 24 235-265
  • [3] Cannon J(1979)Self-dual codes over GF(3) and GF(4) of length not exceeding 16 IEEE Trans. Inform. Theory 25 312-322
  • [4] Playoust C(1999)Optimal ternary formally self-dual codes Discrete Math. 196 117-135
  • [5] Conway JH(2006)Error probabilities for bounded distance decoding Design Codes Cryptogr. 40 237-252
  • [6] Pless V(2005)On the weight enumerators of duadic and quadratic residue codes IEEE Trans. Inform. Theory 51 402-407
  • [7] Sloane NJA(2003)Experimental constructions of self-dual codes Finite Fields Appl. 9 372-394
  • [8] Dougherty ST(2009)On circulant self-dual codes over small fields Design Codes Cryptogr. 52 57-81
  • [9] Gulliver TA(2008)New nonbinary self-dual codes IEEE Trans. Inform. Theory 54 415-417
  • [10] Harada M(2007)Extremal ternary self-dual codes constructed from negacirculant matrices Graphs Comb. 23 401-417
123