Exotic complex Hadamard matrices, and their equivalence

Details Exotic complex Hadamard matrices, and their equivalence Exotic complex Hadamard matrices, and their equivalence

2010-01-18

arxiv.org/abs/1001.3062v2

Mathematics

Combinatorics

10 pages. To appear in Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences

Scientific paper

10.1007/s12095-010-0021-3

In this paper we use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe--Jones and Munemasa--Watatani and offer a theoretical explanation for the existence of some sporadic examples of complex Hadamard matrices in the existing literature. As it is increasingly difficult to distinguish inequivalent matrices from each other, we propose a new invariant, the fingerprint of complex Hadamard matrices. As a side result, we refute a conjecture of Koukouvinos et al. on (n-8)x(n-8) minors of real Hadamard matrices.

Affiliated with

Also associated with

No associations

Rating

Exotic complex Hadamard matrices, and their equivalence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exotic complex Hadamard matrices, and their equivalence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exotic complex Hadamard matrices, and their equivalence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661331