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(v, k, λ) Configurations and Hadamard matrices
Published online by Cambridge University Press: 09 April 2009
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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.
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- Copyright © Australian Mathematical Society 1970
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