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Nonisomorphic Hadamard designs

✍ Scribed by C.W Norman


Book ID
103505846
Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
602 KB
Volume
21
Category
Article
ISSN
0097-3165

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We use elementary linear algebra to prove that if p divides n, then the p-rank of a skew Hadamard (4n&1, 2n&1, n&1)-design is 2n. Our theorem generalizes and simplifies an extension by Jungnickel of a result of MacWilliams and Mann obtained using character theory.