Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424072 | European Journal of Combinatorics | 2016 | 9 Pages |
Abstract
We study the circulant complex Hadamard matrices of order n whose entries are lth roots of unity. For n=l prime we prove that the only such matrix, up to equivalence, is the Fourier matrix, while for n=p+q,l=pq with p,q distinct primes there is no such matrix. We then provide a list of equivalence classes of such matrices, for small values of n,l.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Gaurush Hiranandani, Jean-Marc Schlenker,