1 Institute of Mathematics and Informatics [Sofia]
2 Department of Applied Mathematics and Computer Science [Ghent]
3 Research Group on Combinatorial Algorithms and Algorithmic Graph Theory
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an automorphism of order 3 and 2 fixed points and blocks.
Mateva, Zlatka T.; Topalova, Svetlana, 2009, Hadamard 2-(63,31,15) Designs Invariant Under The Dihedral Group Of Order 10, Discrete Mathematics, 309, 6, pp. 1347-1356, 10.1016/j.disc.2008.02.001.