2019-06-142019-06-142017Armario Sampalo, J.A. y Flannery, D.L. (2017). On quasi-orthogonal cocycles. Journal of Combinatorial Designs, 26 (8), 401-411.1063-8539https://hdl.handle.net/11441/87426We 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Cocycle(quasi-)orthogonal(quasi-)Hadamard groupdifference setblock designinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1002/jcd.21597