Support Weight Enumerators and Coset Weight Distributions of Isodual Codes

OLGICA MILENKOVIC

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Support Weight Enumerators and Coset Weight Distributions of Isodual Codes

机译：等权码的支持权重枚举和陪集权重分布

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In this paper various methods for computing the support weight enumerators of binary, linear, even, isodual codes are described. It is shown that there exist relationships between support weight enumerators and coset weight distributions of a code that can be used to compute partial information about one set of these code invariants from the other. The support weight enumerators and complete coset weight distributions of several even, isodual codes of length up to 22 are computed as well. It is observed that there exist inequivalent codes with the same support weight enumerators, inequivalent codes with the same complete coset weight distribution and inequivalent codes with the same support eight enumerators and complete coset weight distribution.

机译：在本文中，描述了用于计算二进制，线性，偶数，等参代码的支持权重枚举器的各种方法。结果表明，在支持权重枚举器和代码的共集权重分布之间存在关系，这些关系可用于计算关于一组这些代码不变式与另一组的部分信息。还计算了支持权重枚举器和几个偶数，等距码的完整陪集权重分布，长度最大为22。可以看出，存在具有相同支持权重枚举数的不等价代码，具有相同完整陪集权重分布的不等价代码和具有相同支持8个枚举数和完整陪伴权重分布的不等价代码。

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来源
《Designs, Codes and Crytography》 |2005年第1期|p.81-109|共29页
作者
OLGICA MILENKOVIC;
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作者单位

Department of Electrical and Computer Engineering, University of Colorado, Boulder, CO USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
coset weight distribution; formally self-dual codes; support weight enumerators;

机译：陪伴体重分配;正式的自我对偶代码;支持体重计数员;

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专利

1. Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes [J] . Masaya Maeda, Toru Fujiwara IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2001,第3期

机译：某些Reed-Muller码和BCH码的陪伴首长的权重分布
2. On covering radii and coset weight distributions of extremal binary self-dual codes of length 56 [J] . Ozeki M. IEEE Transactions on Information Theory . 2000,第7期

机译：关于长度为56的极值二进制自对偶码的覆盖半径和陪集权重分布
3. On covering radii and coset weight distributions of extremal binary self-dual codes of length 40 [J] . Ozeki M. Theoretical computer science . 2000,第2期

机译：关于长度为40的极值二进制自对偶码的覆盖半径和陪集权重分布
4. On the generalized Hamming weight enumerators and coset weight distributions of even isodual codes [C] . Milenkovic, O. Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on . 2001

机译：关于广义汉明权重枚举和偶数等距码的陪集权重分布
5. Weight enumerators and gray maps of linear codes over rings [D] . Yildiz, Bahattin 2006

机译：环上线性代码的权重枚举器和灰度图
6. Stroke survivors’ long-term QALY-weights in relation to their spouses’ QALY-weights and informal support: a cross-sectional study [O] . Josefine Persson, Lars-Åke Levin, Lukas Holmegaard, 2017

机译：脑卒中幸存者的长期QALY权重与配偶的QALY权重和非正式支持有关：一项横断面研究
7. Support weight enumerators and coset weight distributions of isodual codes [O] . Olgica Milenkovic 2003

机译：支持重量调查器和同步代码的陪集重量分布
8. Ensemble Weight Enumerators for Protograph LDPC Codes [R] . Divsalar, Dariush 2006

机译：用于protograph LDpC码的集合权重计数器

Support Weight Enumerators and Coset Weight Distributions of Isodual Codes

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