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Some Hadamard matrices of order 32 and their binary codes

✍ Scribed by Makoto Araya; Masaaki Harada; Hadi Kharaghani

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
70 KB
Volume
12
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

It is known that all doubly‐even self‐dual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doubly‐even self‐dual [32,16,8] code can be constructed from some binary Hadamard matrix of order 32. © 2004 Wiley Periodicals, Inc.

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