期刊
DISCRETE MATHEMATICS
卷 289, 期 1-3, 页码 11-24出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.disc.2004.10.002
关键词
codes over rings; Frobenius rings; homogeneous weights; Plotkin bound; Elias bound; sphere; packing bound; Gilbert-Varshamov bound; ring codes
类别
Homogeneous weight functions were introduced by Heise and Constantimescu (Lineare Codes fiber Restklassenringen ganzer Zahlen und ihre Automorphismen bezijglich einer verallgemeinerten Hamming-Metrik, Ph.D. Thesis, Technische Universitat Munchen, 1995; Problemy Peredachi Informatsii 33(3) (1997) 22-28). They appear as a natural generalization of the Hamming weight on finite fields and the Lee weight on Z(4) and have proven to be important in further papers (J. Combin. Theory 92 (2000) 17-28). This article develops a Plotkin and an Elias bound for (not necessarily linear) block codes on finite Frobenius rings that are equipped with this weight. (C) 2004 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据