New extremal self-dual codes of length 68

Steven T. Dougherty; Masaaki Harada

doi:10.1109/18.782158

New extremal self-dual codes of length 68

Steven T. Dougherty, Masaaki Harada

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

7 Citations (Scopus)

Abstract

In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.

Original language	English
Pages (from-to)	2133-2136
Number of pages	4
Journal	IEEE Transactions on Information Theory
Volume	45
Issue number	6
DOIs	https://doi.org/10.1109/18.782158
Publication status	Published - 1999
Externally published	Yes

Keywords

New extremal doubly-even codes
Shadow codes
Weight enumerators

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/18.782158

Cite this

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title = "New extremal self-dual codes of length 68",

abstract = "In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.",

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AU - Harada, Masaaki

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AB - In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.

KW - New extremal doubly-even codes

KW - Shadow codes

KW - Weight enumerators

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New extremal self-dual codes of length 68

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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