Extremal binary self-dual codes

Steven T. Dougherty; T. Aaron Gulliver; Masaaki Harada

doi:10.1109/18.641574

Extremal binary self-dual codes

Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada

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

95 Citations (Scopus)

Abstract

In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d = 14 and 16 are constructed. In particular, the first extremal "Type I [86, 43, 16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40, 50, 52, and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100.

Original language	English
Pages (from-to)	2036-2047
Number of pages	12
Journal	IEEE Transactions on Information Theory
Volume	43
Issue number	6
DOIs	https://doi.org/10.1109/18.641574
Publication status	Published - 1997
Externally published	Yes

Keywords

Extremal self-dual codes
Weight enumerators and shadow codes

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/18.641574

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KW - Weight enumerators and shadow codes

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Extremal binary self-dual codes

Abstract

Keywords

ASJC Scopus subject areas

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