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Generalized hamming weights and equivalences of codes
Authors:Email author" target="_blank">Yun?FanEmail author  Hongwei?Liu  Liuis?Puig
Institution:1. Department of Mathematics, Wuhan University, Wuhan 430072; Department of Mathematics, Hubei University, Wuhan 430062, China
2. Department of Mathematics, Wuhan University, Wuhan 430072; Department of Mathematics, Central China Normal University, Wuhan 430079, China
3. CNRS, Université de Paris 7, 6 Avenue Bizet, Joinville le Pont, 94340, France
Abstract: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.
Keywords:equivalence  generalized Hamming weight  isometry  
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