Self-Dual Codes With an Automorphism of Order 11

Yankov Nikolay; Moon Ho Lee; Gurel Muberra; Ivanova Milena

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Self-Dual Codes With an Automorphism of Order 11

机译：自对偶阶为11的自对偶代码

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摘要

Using a method for constructing self-dual codes having an automorphism of odd prime order, we classify up to equivalence all binary self-dual codes with an automorphism of order 11 with 6 cycles and minimum distance 12. This classification gives new [72, 36, 12] codes with weight enumerator that was previously not obtained as well as many [66, 33, 12], [68, 34, 12], and [70, 35, 12] codes with new values of the parameters in their respective weight enumerators.

机译：使用一种构造具有奇数素数阶自同构的自对偶码的方法，我们将所有等价的具有等阶11且具有6个循环和最小距离12的自同构二进制自对偶码分类。这种分类给出了新的[72，36 ，[12]代码和以前未获得的权重枚举器，以及许多[66，33，12]，[68，34，12]和[70，35，12]代码在各自的参数中都有新值体重调查员。

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来源
《Information Theory, IEEE Transactions on》 |2015年第3期|1188-1193|共6页
作者
Yankov Nikolay; Moon Ho Lee; Gurel Muberra; Ivanova Milena;
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作者单位

Fac. of Math. & Inf., Shumen Univ., Shumen, Bulgaria;

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原文格式 PDF
正文语种 eng
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关键词
binary codes; dual codes; binary self-dual codes; odd prime order; order 11 automorphism; weight enumerator; Ethanol; Gas detectors; Powders; Three-dimensional displays; Zinc oxide; Self-dual codes; Self-dual codes,; automorphisms;

机译：二进制代码;对偶代码;二进制自对偶代码;奇数阶;11次自同构;重量枚举器;乙醇;气体检测器;粉末;三维显示;氧化锌;自对偶代码;自对偶代码;自同构;

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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. On the self-dual codes invariant under an automorphism of type 11-(8,0) [C] . Nikolay I. Yankov International Workshop on Algebraic and Combinatorial Coding Theory . 2020

机译：在11-（8,0）的自动双重代码不变
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. Long non-coding RNA homeobox A11 antisense RNA (HOXA11-AS) promotes retinoblastoma progression via sponging miR-506-3p [O] . Ning Han, Ling Zuo, Han Chen, 2019

机译：较长的非编码RNA同源盒A11反义RNA（HOXA11-AS）通过使miR-506-3p变海绵促进视网膜母细胞瘤进展
7. Classification of binary self-dual [76, 38, 14] codes with an automorphism of order 9 [O] . Yankov, Nikolay, Russeva, Radka, Karatash, Emine 2017

机译：二进制自对偶[76,38,14]代码的分类顺序自同构9

Self-Dual Codes With an Automorphism of Order 11

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