Title of article
Classification of Hadamard matrices of order 44 with automorphisms of order 7
Author/Authors
Svetlana Topalova، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
9
From page
275
To page
283
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).
Keywords
Hadamard matrix , design , Self-dual code , Automorphism
Journal title
Discrete Mathematics
Serial Year
2003
Journal title
Discrete Mathematics
Record number
949455
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