QPlus: computer package for coding theory research and education

作     者：Bogdanova, G. T. Todorov, T. J. Todorov, V. H. 

作者机构：Bulgarian Acad Sci Inst Math & Informat Veliko Tarnovo 5000 Bulgaria Univ Paris 06 F-75005 Paris France 

出 版 物：《INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS》 (国际计算机数学杂志)

年 卷 期：2011年第88卷第3期

页      面：443-451页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Bulgarian National Science Fund [IO-03-02/2006] 

主　　题：coding theory modular arithmetic elementary number theory vectors and matrices arithmetic linear codes equidistant codes constant-weight equidistant codes lexicographic codes 

摘      要：Ashared computer tool QPlus for studying coding theory studying is presented. The system offers computations over Z(q) = {0, 1, ... , q - 1} (q 256) and includes modular arithmetic, elementary number theory, vectors and matrices arithmetic and an environment for research on q-ary codes - linear, constant-weight and equidistant codes. QPlus includes a DLL library package that implements coding theory algorithms. We explore the problem of finding bounds on the size of q-ary codes by computer methods. Some examples for optimal equidistant codes and constant-weight equidistant codes that have been constructed by computer methods developed in QPlus are described. We also research some optimal linear codes.