No binary quadratic residue code of length 8m-1 is quasi-perfect

Xuemin Chen; Reed I.S.

首页> 外文期刊>IEEE Transactions on Information Theory >No binary quadratic residue code of length 8m-1 is quasi-perfect

【24h】

No binary quadratic residue code of length 8m-1 is quasi-perfect

机译：长度为8m-1的二进制二次残差代码都不是准完美的

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The class of binary quadratic residue (QR) codes of length n=8m-1 contains two perfect codes. These are the (7,4,3) Hamming code and the (23,12,7) Golay code. However, it is proved in the present paper that there are no quasi-perfect QR codes of length 8m-1. Finally, this result is generalized to all binary self-dual codes of length N<72.

机译：长度为n = 8m-1的二进制二次残差（QR）码类别包含两个完美码。这些是（7,4,3）汉明码和（23,12,7）Golay码。但是，本文证明没有长度为8m-1的准完美QR码。最后，该结果被推广到所有长度为N <72的二进制自对偶码。

著录项

来源
《IEEE Transactions on Information Theory》 |1994年第2期|P.503-504|共2页
作者
Xuemin Chen; Reed I.S.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词

相似文献

外文文献
中文文献
专利

1. Modified quadratic residue constructions and new extremal binary self-dual codes of lengths 64, 66 and 68 [J] . Gildea Joe, Hamilton Holly, Kaya Abidin, Information Processing Letters . 2020,第May期

机译：改性二次残留结构和长度为64,66和68的新极值自二元码
2. New extremal binary self-dual codes of length 68 from quadratic residue codes over F_2 + uF_2 + u~2F_2 [J] . Abidin Kaya, Bahattin Yildiz, Trfan Siap Finite fields and their applications . 2014,第sepa期

机译：来自F_2 + uF_2 + u〜2F_2上的二次余数代码的长度为68的新的极值二进制自对偶代码
3. A Scheme for Collective Encoding and Iterative Soft-Decision Decoding of Cyclic Codes of Prime Lengths: Applications to Reed–Solomon, BCH, and Quadratic Residue Codes [J] . Shu Lin, Khaled Abdel-Ghaffar, Juane Li, IEEE Transactions on Information Theory . 2020,第9期

机译：循环长度循环码的集体编码和迭代软判决解码方案：芦苇所罗门，BCH和二次残留码的应用
4. Syndrome-Weight Decoder for General Binary Quadratic Residue Codes [C] . Ming-Haw Jing, Yaotsu Chang, Zih-Heng Chen, International Conference on Information, Communications and Signal Processing . 2009

机译：一般二元二次残基码的综合体重解码器
5. On dihedral codes and the double circulant conjecture for binary extended quadratic residue codes. [D] . Musa, Mona Barakat. 2004

机译：关于二面性码和双循环二次猜想，用于二进制扩展的二次余数码。
6. Overpartitions and class numbers of binary quadratic forms [O] . Kathrin Bringmann, Jeremy Lovejoy 2009

机译：二进制二次形式的分区和类号
7. New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2 [O] . Kaya, Abidin, Yildiz, Bahattin, Siap, Irfan 2013

机译：从二次残差中得到长度为68的新的极值二进制自对偶码代码超过f_2 + uf_2 + u ^ 2f_2

No binary quadratic residue code of length 8m-1 is quasi-perfect

摘要

著录项

相似文献

相关主题

期刊订阅