[PDF][PDF] Classification of Hadamard matrices of order 44 with automorphisms of order 7
S Topalova - Discrete mathematics, 2003 - core.ac.uk
Discrete mathematics, 2003•core.ac.uk
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). cO 2002 Elsevier Science BV All
rights reserved.
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). cO 2002 Elsevier Science BV All
rights reserved.
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). cO 2002 Elsevier Science BV All rights reserved.
core.ac.uk
以上显示的是最相近的搜索结果。 查看全部搜索结果