Semi-automorphisms of Hadamard matrices
- 1 May 1975
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 77 (3) , 459-473
- https://doi.org/10.1017/s0305004100051288
Abstract
A Hadamard matrix Hn is an n by n matrix H = [hij ], i, j = 1, …, n in which every entry hij is + 1 or − 1, such that It is well known that possible orders are n = 1, 2 and n = 4m. An automorphism α of H is given by a pair P, Q of monomial ± 1 matrices such that Here P permutes and changes signs of rows, while Q acts similarly on columns.Keywords
This publication has 5 references indexed in Scilit:
- Symmetry codes over GF(3) and new five-designsJournal of Combinatorial Theory, Series A, 1972
- Automorphism groups of Hadamard matricesJournal of Combinatorial Theory, 1969
- New 5-designsJournal of Combinatorial Theory, 1969
- A Group of Order 8,315,553,613,086,720,000Bulletin of the London Mathematical Society, 1969
- Note on the Mathieu group M12Archiv der Mathematik, 1962