## Abstract All equivalence classes of Hadamard matrices of order at most 28 have been found by 1994. Order 32 is where a combinatorial explosion occurs on the number of Hadamard matrices. We find all equivalence classes of Hadamard matrices of order 32 which are of certain types. It turns out that
Hadamard Matrices of Order 32
β Scribed by Hadi Kharaghani; Behruz Tayfeh-Rezaie
- Book ID
- 112120500
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 513 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1063-8539
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π SIMILAR VOLUMES
## Abstract It is known that all doublyβeven selfβdual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doublyβeven selfβdual [32,16,8] code can be const
In this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e., Hadamard matrices consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0 for i = j and where J 4 is the all-one matrix of order 4). It is shown that the checkered