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Characteristics of Invariant Weights Related to Code Equivalence over Rings
Abstract : The Extension Theorem states that, for a given weight on he alphabet, every linear isometry between linear codes extends to a mono- mial transformation of the entire space. This theorem has been proved for several weights and alphabets, including the original MacWilliams' Equivalence Theorem for Hamming weight on codes over nite elds. Now we ask: What conditions must a weight satisfy so that the Extension Theorem will hold? In this paper we provide an algebraic framework for determining such conditions, generalising the approach taken in [5].
Cited literature [15 references]
https://hal.inria.fr/inria-00607730
Contributor : Assia Saadi <>
Submitted on : Monday, July 11, 2011 - 10:13:17 AM
Last modification on : Wednesday, November 29, 2017 - 10:27:36 AM
Long-term archiving on: : Monday, November 12, 2012 - 10:40:17 AM
Contributor : Assia Saadi <>
Submitted on : Monday, July 11, 2011 - 10:13:17 AM
Last modification on : Wednesday, November 29, 2017 - 10:27:36 AM
Long-term archiving on: : Monday, November 12, 2012 - 10:40:17 AM
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