Spin models constructed from Hadamard matrices
β Scribed by K Nomura
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 298 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
Kharaghani, H., A construction for Hadamard matrices, Discrete Mathematics 120 (1993) 115-120. Let 2% be the order of an Hadamard matrix. Using block Golay sequences, a class of Hadamard matrices of order (r + 4" + 1)4"+ 1 m2 is constructed, where r is the length of a Golay sequence.
In this article we give the definition of the class N = NI U N z U 3 f 3 where and prove: (1) 3 f l ( v ) # 4 for v E 3fl = { p 2 r : p = S(mod 8) a prime, T f O(mod 4)}, NZ = {3"( p ; --. P : ) ~: pi = 3(mod 4) a prime, pi > 3 , r,ri 2 0, i = l , ---, n ; n = 1,2,-\*.}, N 3 = {vv': v E N 1 and v '
## Abstract There are exactly 60 inequivalent Hadamard matrices of order 24. In this note, we give a classification of the selfβdual π½~5~βcodes of length 48 constructed from the Hadamard matrices of order 24. Β© 2004 Wiley Periodicals, Inc.