Title of article
Determination of weight enumerators of binary extremal self-dual [42,21,8] codes
Author/Authors
Stefka Bouyuklieva، نويسنده , , Masaaki Harada، نويسنده , , Akihiro Munemasa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
177
To page
187
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}.
Keywords
Shadow , Extremal self-dual code , Doubly even code , Weight enumerator , Binary code
Journal title
Finite Fields and Their Applications
Serial Year
2008
Journal title
Finite Fields and Their Applications
Record number
701321
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