On Hadamard matrices constructible by circulant submatrices

Author:
C. H. Yang

Journal:
Math. Comp. **25** (1971), 181-186

MSC:
Primary 05.25

DOI:
https://doi.org/10.1090/S0025-5718-1971-0288037-7

Corrigendum:
Math. Comp. **28** (1974), 1183-1184.

Corrigendum:
Math. Comp. **28** (1974), 1183-1184.

MathSciNet review:
0288037

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be an *H*-matrix of order 2*n* constructible by using circulant submatrices. A recursive method has been found to construct by using circulant submatrices which are derived from submatrices of a given . A similar method can be applied to a given , an *H*-matrix of Williamson type with odd *n*, to construct . All constructible by the standard type, for , and some , for , are listed and classified by this method.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1971-0288037-7

Keywords:
Construction of Hadamard matrices,
circulant matrices,
standard type *H*-matrices,
Williamson type *H*-matrices,
recursive method for *H*-matrices,
table for some *H*-matrices

Article copyright:
© Copyright 1971
American Mathematical Society