Notes on classification of toric surface codes of dimension 5

被引：4
|
作者：
Yau, Stephen S. -T. [1 ,2 ]
Zuo, Huaiqing [3 ]
机构：
[1] Univ Illinois, Dept MSCS, Chicago, IL 60607 USA
[2] E China Normal Univ, Inst Math, Shanghai 200062, Peoples R China
[3] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2009年 / 20卷 / 02期
关键词：
C (programming language);
D O I：
10.1007/s00200-009-0096-2
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This is an addendum to the beautiful paper by Little and Schwarz (Appl Algebra Eng Commun Comput 18:349-367, 2007) in which one case of toric surface codes of dimension 5 was missing in their classification result of toric surface codes of dimension less than 6. Our main purpose is to fill the gap of this paper. We find that our new code C(P5)(7) enjoys more symmetry, and it has more codewords of minimum distance in general. However, over some special fields F(2)m, C(P5(5)) and C(P5)(7) have the same number of the codewords of minimum distance.
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页码：175 / 185
页数：11
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