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2-(31,15,7), 2-(35,17,8) and 2-(36,15,6) designs with automorphisms of odd prime order, and their related Hadamard matrices and codes

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Author(s): Bouyukliev I., Fack V., Winne J.
Year: 2008

Language: English
Commentary: 41713
Pages: 18

1 Introduction......Page 1
2 Equivalence......Page 3
3 Generation of 2-designs with prescribed automorphism......Page 4
3.1 Generation of the fixed parts......Page 5
3.2 Generation of the orbit matrices......Page 6
3.3 Expansion of the orbit matrices......Page 7
4 Partial classification of 2-(31,15,7), 2-(35,17,8) and 2-(36,15,6) designs......Page 8
5.1 Hadamard matrices of order 32......Page 12
5.2 Hadamard matrices of order 36......Page 13
6 Results for codes......Page 15
References......Page 17