Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

Abstract

We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length 12m for m =3,4,5,6. Also we consider the weight enumerators for which there is a quaternary near-extremal Hermitian self-dual code of length 6m for m =4,5,6.

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