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Relations Among Generalized Hadamard Matrices, Relative Difference Sets, and Maximal Length Linear Recurring Sequences

Published online by Cambridge University Press:  20 November 2018

A. T. Butson
A. T. Butson*
Affiliation:
Boeing Airplane Co.
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It was established in (5) that the existence of a Hadamard matrix of order 4t is equivalent to the existence of a symmetrical balanced incomplete block design with parameters v = 4t — 1, k = 2t — 1, and λ = t — 1. A block design is completely characterized by its so-called incidence matrix. The existence of a block design with parameters v, k, and λ such that the corresponding incidence matrix is cyclic was shown in (3) to be equivalent to the existence of a cyclic difference set with parameters v, k, and λ. For certain values of the parameters, Hadamard matrices, block designs, and difference sets do coexist.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 42 - 48
Copyright
Copyright © Canadian Mathematical Society 1963

References

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