On the self-dual codes invariant under an automorphism of type 11-(8,0)

机译：在11-（8,0）的自动双重代码不变

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study self-dual codes (SD) over GF(2) with 8 cycles of length 11 in the decomposition of its automorphism and minimum weight at least 16. The main method we use is by Huffman and Yorgov and is for constructing SD codes having an automorphism of order p for a prime p > 2. We prove that [8],[4] SD codes over F210 such that their preimage is a binary code with minimum weight 20 does not exist. By restricting the matrices of the subcode to have symmetric or circulant submatrix in their systematic form, we have found many new Hermitian self-dual codes over F210. Those newly found Hermitian codes allow us to constructed 468062 new binary SD [88,44,16] doubly-even codes.

机译：我们将自发双重代码（SD）与GF（2）进行过8个长度11的分解，在其自体形态的分解和至少16的分解中。我们使用的主要方法是由Huffman和Yorgov进行，并且用于构建SD代码序号P的自动形态P> 2.我们证明了[8]，[4] SD代码通过F210，使得它们的预测是具有最小重量20的二进制代码。通过限制子台科码的矩阵以其系统形式具有对称或循环的子样本，我们发现了在F210上的许多新的封闭癖自我双重代码。那些新发现的隐士代码允许我们建造468062新的二进制SD [88,44,16]双甚至代码。

著录项

来源
《International Workshop on Algebraic and Combinatorial Coding Theory》|2020年|162-164|共3页
会议地点
作者
Nikolay I. Yankov;
展开▼
作者单位

展开▼
会议组织
原文格式 PDF
正文语种
中图分类
关键词
Systematics; Symmetric matrices; Binary codes; Information theory;

机译：系统学;对称矩阵;二进制代码;信息理论;

相似文献

外文文献
中文文献
专利

1. Self-dual codes with an automorphism of order 7 and s-extremal codes of length 68 [J] . Yankov Nikolay, Ivanova Milena, Lee Moon Ho Finite fields and their applications . 2018,第MAY期

机译：自对偶码为7阶自构，长度为s的极值码
2. Classification of Binary Self-Dual [76, 38, 14] Codes With an Automorphism of Order 9 [J] . Yankov Nikolay Ivanov, Russeva Radka Peneva, Karatash Emine Ahmed IEEE Transactions on Information Theory . 2019,第2期

机译：自阶为9的二进制自对偶[76，38，14]码的分类
3. SELF-DUAL CODES WITH AN AUTOMORPHISM OF ORDER 13 [J] . Yankov Nikolay, Anev Damyan, Gurel Muberra Advances in mathematics of communications . 2017,第3期

机译：单级代码与订单13的万能
4. Constructing self-dual codes using an automorphism group [C] . Radinka Yorgova Proceedings of the 2006 IEEE Information Theory Workshop(ITW'06) . 2006

机译：使用自同构组构造自对偶代码
5. Construction of new self-dual codes and quantum codes and their connections. [D] . Kim, Jon-Lark. 2002

机译：构造新的自对偶代码和量子代码及其连接。
6. ENTROPY A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS [O] . R. L. Adler, B. Weiss 1967

机译：熵圆环自体的完整度量不变
7. On the relation between the invariants of a doubly even self-dual binary code C and the invariants of the even unimodular lattice L(C) defined from the code C.(Algebraic Combinatorial Theory) [O] . Ozeki Michio 1988

机译：关于双偶对偶二进制代码C的不变量与由代码C定义的偶单模格子L（C）的不变量之间的关系。（代数组合理论）
8. Modular invariants and fusion rule automorphisms from Galois theory [R] . Fuchs, J. , Gato-Rivera, B. , Schellekens, B. , 1994

机译：Galois理论中的模乘不变量和融合规则自同构

On the self-dual codes invariant under an automorphism of type 11-(8,0)

摘要

著录项

相似文献

相关主题

期刊订阅