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Some restrictions on weight enumerators of singly even self-dual codes II

Abstract

In this note, we give some restrictions on the number of vectors of weight d/2+1d/2+1 in the shadow of a singly even self-dual [n,n/2,d][n,n/2,d] code. This eliminates some of the possible weight enumerators of singly even self-dual [n,n/2,d][n,n/2,d] codes for (n,d)=(62,12)(n,d)=(62,12), (72,14)(72,14), (82,16)(82,16), (90,16)(90,16) and (100,18)(100,18).Comment: 16 page

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