Characters and the Equivalence of Codes
Authors: Ward H.N.1; Wood J.A.2
Source: Journal of Combinatorial Theory, Series A, Volume 73, Number 1, February 1996 , pp. 348-352(5)
Publisher: Academic Press
Abstract:
MacWilliams proved that two linear codes are equivalent up to monomial transformations if and only if there is a weight-preserving linear isomorphism between them. We present a new proof based on the linear independence of group characters. We also present a new proof of a theorem of Bonisoli characterizing constant weight codes.
Language: English
Document Type: Miscellaneous
Affiliations: 1: Department of Mathematics, University of Virginia, Charlottesville, Virginia, 22903 2: Department of Mathematics, Computer Science and Statistics, Purdue University Calumet, Hammond, Indiana, 46323

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