Contract grant sponsor: NSERC-Group Discovery.
Hadamard Matrices of Order 32
Version of Record online: 5 JUL 2012
© 2012 Wiley Periodicals, Inc.
Journal of Combinatorial Designs
Volume 21, Issue 5, pages 212–221, May 2013
How to Cite
Kharaghani, H. and Tayfeh-Rezaie, B. (2013), Hadamard Matrices of Order 32. J. Combin. Designs, 21: 212–221. doi: 10.1002/jcd.21323
- Issue online: 5 MAR 2013
- Version of Record online: 5 JUL 2012
- Manuscript Revised: 29 MAY 2012
- Manuscript Received: 25 JAN 2012
- Hadamard matrices;
- classification of combinatorial objects;
- isomorph-free generation;
- orderly algorithm
Two Hadamard matrices are considered equivalent if one is obtained from the other by a sequence of operations involving row or column permutations or negations. We complete the classification of Hadamard matrices of order 32. It turns out that there are exactly 13,710,027 such matrices up to equivalence.