Binomial moments for divisible self-dual codes
by Iwan M. Duursma
International Journal of Information and Coding Theory (IJICOT), Vol. 1, No. 2, 2010

Abstract: For self-dual codes with all weights divisible by an integer greater than one, the minimum distance is bounded by the Mallows-Sloane upper bounds and by their improvements due to Krasikov-Litsyn and Rains. We obtain the improved upper bounds from short relations with constant coefficients on suitable binomial moments of the codes. In this approach, the Mallows-Sloane bounds are analogues of the Singleton bound and the improved bounds are analogues of the Plotkin bound.

Online publication date: Wed, 10-Mar-2010

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