Characteristics of invariant weights related to code equivalence over rings

The Equivalence Theorem states that, for a given weight on an alphabet, every isometry between linear codes extends to a monomial transformation of the entire space. This theorem has been proved for several weights and alphabets, including the original MacWilliams’ Equivalence Theorem for the Hammin...

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Bibliographic Details

Published in:	Designs, codes, and cryptography Vol. 66; no. 1-3; pp. 145 - 156
Main Authors:	Greferath, Marcus, Mc Fadden, Cathy, Zumbrägel, Jens
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.01.2013
Subjects:	Circuits Coding and Information Theory Computer Science Cryptology Data Structures and Information Theory Discrete Mathematics in Computer Science Information and Communication MacWilliams’ equivalence theorem Weights 11T71 94B05 Ring-linear codes Extension theorem 05E99
ISSN:	0925-1022, 1573-7586
Online Access:	Get full text
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