Classification of self-orthogonal codes over F3 and F4

被引：18

作者：

Bouyukliev, I

Östergård, PRJ

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Veliko Tarnovo 5000, Bulgaria

[2] Helsinki Univ Technol, Dept Elect & Commun Engn, Espoo 02015, Finland

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2005年 / 19卷 / 02期

关键词：

code equivalence; quantum codes; self-dual codes; self-orthogonal codes;

D O I：

10.1137/S0895480104441085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several methods for classifying self-orthogonal codes up to equivalence are presented. These methods are used to classify self-orthogonal codes with largest possible minimum distance over the fields F-3 and F-4 for lengths n <= 29 and small dimensions ( up to 6). Some properties of the classified codes are also presented. In particular, an extensive collection of quantum error-correcting codes is obtained.

引用

页码：363 / 370

页数：8

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