Article ID Journal Published Year Pages File Type
4583334 Finite Fields and Their Applications 2008 11 Pages PDF
Abstract

We determine the weight enumerators for which there is a binary extremal self-dual [42,21,8] code. In particular, the number β of the vectors of weight 5 in the shadow satisfies β∈{0,1,…,22,24,26,28,32,42}. We also give a classification of extremal self-dual [42,21,8] codes with β∈{24,26,28,32,42}.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory