Generalized Hamming weights and equivalences of codes  

作　　者：樊恽 刘宏伟 Lluis Puig 

机构地区：[1]Department of Mathematics, Wuhan University. Wuhan 430072 [2]Department of Mathematics, Hubei University, Wuhan 430062, China [3]Department of Mathematics, Wuhan University, Wuhan 430072 [4]Department of Mathematics, Central China Normal University, Wuhan 430079, China [5]CNRS, Universite de Paris 7, 6 Avenue Bizet, Joinville le Pont, 94340, France

出　　处：《Science China Mathematics》2003年第5期690-695,共6页中国科学：数学（英文版）

基　　金：The first two authors were supported by the 973 Basic Research P rogram of China.

摘　　要：It is proved that any linear isomorphism between two linear codes which preserves a generalizedHamming weight is a monomial equivalence, which is an extension of a theorem of MacWilliams.It is proved that any linear isomorphism between two linear codes which preserves a generalized Hamming weight is a monomial equivalence, which is an extension of a theorem of MacWilliams.

关 键 词：equivalence  GENERALIZED Hamming weight  isometry. 

分 类 号：O157.4[理学—数学]