A Sequence of Unique Quaternary Griesmer Codes

HAROLD N. WARD

首页> 外文期刊>Designs, Codes and Crytography >A Sequence of Unique Quaternary Griesmer Codes

【24h】

A Sequence of Unique Quaternary Griesmer Codes

机译：唯一的四元格里斯默码的序列

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

This paper establishes that there is no [98,5,72]_4 code. Such a code would meet the Griesmer bound and the weights of its codewords would all be divisible by 4. The proof of nonexistence uses the uniqueness of codes with parameters [n, 4, n - 5]_4, 14 ≤ n ≤ 17. The uniqueness of these codes for n ≥ 15 had been established geometrically by others; but it is rederived here, along with that of the [14,4,9]_4 code, by exploiting the Hermitian form obtained when the weight function is read modulo 2.

机译：本文确定没有[98,5,72] _4代码。这样的代码将满足Griesmer边界，并且其代码字的权重都将被4整除。不存在的证明使用参数[n，4，n-5] _4，14≤n≤17的代码的唯一性。其他人在几何上已经确定了n≥15的这些代码的唯一性；但此处利用[14,4,9] _4代码的代码，通过利用权函数以模2读取时获得的Hermitian形式重新实现。

著录项

来源
《Designs, Codes and Crytography》 |2004年第1期|p.71-85|共15页
作者
HAROLD N. WARD;
展开▼
作者单位

Department of Mathematics, University of Virginia, Charlottesville, VA 22904 U.S.A.;

展开▼
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
griesmer bound; quaternary code; hermitian form; divisible code; residual code; MacWilliams identities;

机译：格里斯默边界;四元代码;厄米形式;可分代码;残差代码;MacWilliams身份;

相似文献

外文文献
中文文献
专利

1. The geometric approach to the existence of some quaternary Griesmer codes [J] . Rousseva Assia, Landjev Ivan Designs, Codes and Crytography . 2020,第9期

机译：一些第四纪古典守则存在的几何方法
2. THE NONEXISTENCE OF SOME QUATERNARY LINEAR CODES MEETING THE GRIESMER BOUND AND THE BOUNDS FOR n_4(5, d), 1 ≤ d ≤ 256 [J] . NOBORU HAMADA Mathematica Japonicae . 1996,第1期

机译：满足格里默边界和n_4（5，d），1≤d≤256的边界的某些四阶线性码的不存在
3. Quaternary Codes and Biphase Sequences from Z_8-Codes [J] . D. V. Zinoviev, P. Sole Problems of information transmission . 2004,第2期

机译：Z_8码的四级码和双相序列
4. DNA sequences and quaternary cyclic codes [C] . Rykov, V.V., Macula, Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on . 2001

机译：DNA序列和四级循环码
5. Climatic and tectonic controls on Quaternary eolian sedimentary sequences of the Chott Rharsa Basin, southern Tunisia. [D] . Swezey, Christopher Stephen. 1997

机译：突尼斯南部Chott Rharsa盆地第四纪风积沉积序列的气候和构造控制。
6. Coding sequence for the pT181 repC product: a plasmid-coded protein uniquely required for replication. [O] . R P Novick, G K Adler, S Majumder, 1982

机译：pT181 repC产品的编码序列：复制唯一需要的质粒编码蛋白。
7. A sequence of unique quaternary Griesmer codes [O] . Harold N. Ward 2004

机译：唯一的四元格里斯默码的序列
8. Random Coding Bounds for DNA Codes Based on Fibonacci Ensembles of DNA Sequences [R] . D'yachkov, A., Macula, A., Renz, T., 2008

机译：基于DNa序列Fibonacci集合的DNa编码随机编码界

A Sequence of Unique Quaternary Griesmer Codes

摘要

著录项

相似文献

相关主题

期刊订阅