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

Bouyukliev I., Fack V., Winne J.

Table of contents :
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