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Code equivalence characterizes finite Frobenius rings

✍ Scribed by Wood, Jay A.


Book ID
125539548
Publisher
American Mathematical Society
Year
2007
Tongue
English
Weight
150 KB
Volume
136
Category
Article
ISSN
0002-9939

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✍ Marcus Greferath πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 106 KB

MacWilliams' equivalence theorem states that Hamming isometries between linear codes extend to monomial transformations of the ambient space. One of the most elegant proofs for this result is due to K. P. Bogart et al. (1978, Inform. and Control 37, 19-22) where the invertibility of orthogonality ma