Gray isometries for finite chain rings and a nonlinear ternary (36,3<SUP>12</SUP>,15) code

作     者：Greferath, M Schmidt, SE 

作者机构：Univ Duisburg Gesamthsch Dept Math D-47048 Duisburg Germany Johannes Gutenberg Univ Mainz Dept Math D-55099 Mainz Germany 

出 版 物：《IEEE TRANSACTIONS ON INFORMATION THEORY》 (IEEE Trans. Inf. Theory)

年 卷 期：1999年第45卷第7期

页      面：2522-2524页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：codes over rings Gray isometry GRM codes ternary Golay code weight functions 

摘      要：Using tensor product constructions for the first-order generalized Reed-culler codes, we extend the well-established concept of the Gray isometry between (Z(4), delta(L)) and (Z(2)(2), delta(H)) to the context of finite chain rings. Our approach covers previous results by Carlet, Constantinescu, Nechaev et al, and overlaps with Heise et al. and Hanold ct ar. Applying the Gray isometry on Z(9) we Obtain a previously unknown nonlinear ternary (36, 3(12), 15) code.