Zeta functions for formal weight enumerators and an analogue of the Mallows-Sloane bound

Simple item page
dc.creatorChinen, Koji
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:47:17Z
dc.date.available2026-07-07T06:47:17Z
dc.descriptionIn 1999, Iwan Duursma defined the zeta function for a linear code as a generating function of its Hamming weight enumerator. It has various properties similar to those of the zeta function of an algebraic curve. This article extends Duursma's theory to the case of the formal weight enumerators and shows that there exists a similar structure to that of the weight enumerators of type II codes. The extremal property of the formal weight enumerators is also considered and an analogue of the Mallows-Sloane bound is deduced.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0510182
dc.identifierhttp://arxiv.org/abs/math/0510182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103601
dc.subjectNumber Theory
dc.subject11T71
dc.titleZeta functions for formal weight enumerators and an analogue of the Mallows-Sloane bound
dc.typetext

Files

Collections

arXiv