Weight enumerators of extremal singly-even [60,30,12] codes

T. Aaron Gulliver; Masaaki Harada

doi:10.1109/18.485739

Weight enumerators of extremal singly-even [60,30,12] codes

T. Aaron Gulliver, Masaaki Harada

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

Conway and Sloane have listed the possible weight enumerators l'or extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60.

Original language	English
Pages (from-to)	658-659
Number of pages	2
Journal	IEEE Transactions on Information Theory
Volume	42
Issue number	2
DOIs	https://doi.org/10.1109/18.485739
Publication status	Published - 1996
Externally published	Yes

Keywords

Double circulant codes
Extremal self-dual codes

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

Access to Document

10.1109/18.485739

Cite this

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title = "Weight enumerators of extremal singly-even [60,30,12] codes",

abstract = "Conway and Sloane have listed the possible weight enumerators l'or extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60.",

keywords = "Double circulant codes, Extremal self-dual codes",

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AU - Harada, Masaaki

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AB - Conway and Sloane have listed the possible weight enumerators l'or extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60.

KW - Double circulant codes

KW - Extremal self-dual codes

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