Classification of Hadamard matrices of order 44 with automorphisms of order 7 |
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| Authors: | Svetlana Topalova |
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| Affiliation: | Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, P.O. Box 323, 5000 Veliko, V. Tarnovo, Bulgaria |
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| Abstract: | The Hadamard matrices of order 44 possessing automorphisms of order 7 are classified. The number of their equivalence classes is 384. The order of their full automorphism group is calculated. These Hadamard matrices yield 1683 nonisomorphic 3-(44,22,10) designs, 57932 nonisomorphic 2-(43,21,10) designs, and two inequivalent extremal binary self-dual doubly even codes of length 88 (one of them being new). |
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| Keywords: | Hadamard matrix Design Self-dual code Automorphism |
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