Article
On quasi-orthogonal cocycles
Author/s | Armario Sampalo, José Andrés
![]() ![]() ![]() ![]() ![]() ![]() ![]() Flannery, D. L. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2017 |
Deposit Date | 2019-06-14 |
Published in |
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Abstract | We introduce the notion of quasi-orthogonal cocycle. This
is motivated in part by the maximal determinant problem for square
{±1}-matrices of size congruent to 2 modulo 4. Quasi-orthogonal cocycles
are analogous to the ... We introduce the notion of quasi-orthogonal cocycle. This is motivated in part by the maximal determinant problem for square {±1}-matrices of size congruent to 2 modulo 4. 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. |
Project ID. | FQM-016
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Citation | Armario Sampalo, J.A. y Flannery, D.L. (2017). On quasi-orthogonal cocycles. Journal of Combinatorial Designs, 26 (8), 401-411. |
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