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(v, k, λ) Configurations and Hadamard matrices

Published online by Cambridge University Press:  09 April 2009

Jennifer Wallis
Jennifer Wallis
Affiliation:
Canberra College of Advanced EducationBox 381, P.O., Canberra City, A.C.T., 2601
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Using the terminology in 2 (where the expression m-type is also explained) we will prove the following theorems:Theorem 1. If there exist(i) a skew-Hadamard matrix H = U+I of order h,(ii)m-type matrices M = W+I and N = NT of order m,(iii) three matrices X, Y, Z of order x = 3 (mod 4) satisfying(a) XYT, YZT and ZXT all symmetric, and(b) XXT = aIx+bJxthen is an Hadamard matrix of order mxh.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 3 , August 1970 , pp. 297 - 309
Copyright
Copyright © Australian Mathematical Society 1970

References

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