The degree of functions and weights in linear codes

Authors
Guritman, S Hoogweg, F Simonis, J
Citation
S. Guritman et al., The degree of functions and weights in linear codes, DISCR APP M, 111(1-2), 2001, pp. 87-102
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
DISCRETE APPLIED MATHEMATICS → ACNP
Volume
111
Issue
1-2
Year of publication
2001
Pages
87 - 102
Database
ISI
SICI code
Abstract
Properties of the weight distribution of low-dimensional generalized Reed-M uller codes are used to obtain restrictions on the weight distribution of l inear codes over arbitrary fields. These restrictions are used in non-exist ence proofs for ternary linear code with parameters [74, 10, 44] [82, 6, 53 ] and [96, 6, 62]. (C) 2001 Elsevier Science B.V. All rights reserved.