计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (19): 46-47.

• 研究、探讨 • 上一篇    下一篇

有(17,3,1)型的二元自对偶编码[52,26,10]

王  荣,王俊新   

  1. 山西财经大学 应用数学学院,太原 030006
  • 出版日期:2012-07-01 发布日期:2012-06-27

[52,26,10] binary self-dual codes with type of (17,3,1)

WANG Rong, WANG Junxin   

  1. Institute of Applied Mathematics, Shanxi University of Finance and Economic, Taiyuan 030006, China
  • Online:2012-07-01 Published:2012-06-27

摘要: 通过对二元自对偶编码进行分类,证明了在等价情况下,有17阶自同构的二元自对偶编码[52,26,10]只有一种。

关键词: 自对偶编码, 自同构群, 生成矩阵

Abstract: All [52,26,10] binary self-dual codes with an automorphism of order 17 are enumerated, and up to equivalence, there is only one such code.

Key words: self-dual codes, automorphism group, generated matrices