Classification of Hadamard matrices of order 44 with automorphisms of order 7

Authors:
Svetlana Topalova
Affiliations:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, P.O. Box 323, 5000 Veliko V. Tarnovo, Bulgaria
Venue:
Discrete Mathematics
Year:
2003

Citing 6
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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).