Extremal weight enumerators and ultraspherical polynomials.
type: Item
instance of: scholarly article
title: Extremal weight enumerators and ultraspherical polynomials.
zbMATH Open document ID: 1039.94015
DOI: 10.1016/S0012-365X(02)00683-0
published in: Discrete Mathematics
publication date: 2003-07-29T00:00:00Z
review text: The author establishes an upper bound for the minimum distance of a divisible code in terms of its dual distance, a result that generalizes the Mallows-Sloane bounds for self-dual codes. Moreover, there is a determination of zeta functions for the codes that attain this new bound. At the end of the paper are applications to self-dual and extremal self-dual codes.
Mathematics Subject Classification ID: 94B65
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 11T24
zbMATH DE Number: 1956033
zbMATH Keywords: Extremal code
zbMATH Keywords: Divisible code
zbMATH Keywords: Minimum distance bound
zbMATH Keywords: Riemann hypothesis
zbMATH Keywords: Gegenbauer polynomial
author: Iwan Duursma
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: s0012-365x(02)00683-0
OpenAlex ID: W1964937278
description: scientific article; zbMATH DE number 1956033