On quasi-orthogonal cocycles
Combinatorics
2019-08-27 v2
Abstract
We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for square -matrices of size congruent to modulo . Quasi-orthogonal cocycles are analogous to the orthogonal cocycles of algebraic design theory. Equivalences with new and known combinatorial objects afforded by this analogy, such as quasi-Hadamard groups, relative quasi-difference sets, and certain partially balanced incomplete block designs, are proved.
Cite
@article{arxiv.1902.08808,
title = {On quasi-orthogonal cocycles},
author = {J. A. Armario and D. L. Flannery},
journal= {arXiv preprint arXiv:1902.08808},
year = {2019}
}