The structure of linear codes of constant weight

Authors
Wood, JA
Citation
Ja. Wood, The structure of linear codes of constant weight, T AM MATH S, 354(3), 2002, pp. 1007-1026
Citations number
18
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
354
Issue
3
Year of publication
2002
Pages
1007 - 1026
Database
ISI
SICI code
0002-9947(2002)354:3<1007:TSOLCO>2.0.ZU;2-X
Abstract
In this paper we determine completely the structure of linear codes over Z/ NZ of constant weight. Namely, we determine exactly which modules underlie linear codes of constant weight, and we describe the coordinate functionals involved. The weight functions considered are: Hamming weight, Lee weight, two forms of Euclidean weight, and pre-homogeneous weights. We prove a gen eral uniqueness theorem for virtual linear codes of constant weight. Existe nce is settled on a case by case basis.