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)

Buy & download fulltext article:

Price: $52.63 plus tax (Refund Policy)

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

Publication date: 1996-02-01