Constructions of codes from residue rings of polynomials

Chaoping Xing

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Constructions of codes from residue rings of polynomials

机译：由多项式的残环构造代码

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摘要

We present one construction for nonlinear codes and one construction for binary constant-weight codes based on residue rings of polynomials. It turns out that the first construction yields nonlinear codes with reasonable parameters, and a bound of Graham and Sloane (1980) is improved by the second construction.

机译：我们提出了一种基于多项式的残差环的非线性代码构造和一种二进制恒权代码构造。结果表明，第一种构造产生具有合理参数的非线性代码，第二种构造改善了Graham和Sloane（1980）的界线。

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来源
《IEEE Transactions on Information Theory》 |2002年第11期|p.2995-2997|共3页
作者
Chaoping Xing;
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作者单位

Dept. of Math., Nat. Univ. of Singapore, Singapore;

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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
binary codes; nonlinear codes; algebraic codes; polynomials; code construction; residue rings; polynomials; nonlinear codes; binary constant-weight codes; code parameters; algebraic structure;

机译：二进制代码非线性代码代数代码多项式代码构造;残留环多项式非线性代码二进制恒权码;代码参数;代数结构;

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3. Quantum Codes from Constacyclic Codes over Polynomial Residue Rings [J] . Ding Jian, Li Hongju, Liang Jing, Chinese Journal of Electronics . 2019,第6期

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4. Cyclic Codes over Polynomial Residue Class Rings [C] . Zhang Lina International Conference on Electrical and Control Engineering . 2010

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5. CRYPTOGRAPHIC MODELS FOR COMPUTER COMMUNICATIONS (ALGEBRAIC-CODED ENCRYPTION, RESIDUE-CODED, DBMS, ERROR-CONTROL CODES, CRYPTO-COMPLEXITY). [D] . NAM, KIL-HYUN. 1985

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8. Polynomial and Power Series FGC-Rings Have Trivial Coefficient Rings [R] . Brewer, J. W., Naude, C., Naude, G. 1983

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Constructions of codes from residue rings of polynomials

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