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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
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Mathematics 2021, 9(2), 113; https://doi.org/10.3390/math9020113
Received: 2 December 2020 / Revised: 1 January 2021 / Accepted: 4 January 2021 / Published: 6 January 2021
(This article belongs to the Special Issue Codes, Designs, Cryptography and Optimization)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and the pseudococycle of Hadamard matrices over quasigroups. This paper delves into this topic by introducing the concept of the pseudococycle of a partial Hadamard matrix over a Latin rectangle, whose fundamentals are comprehensively studied and illustrated.
Keywords:
Hadamard matrix; Latin rectangle; pseudocoboundary; pseudococycle; quasigroup
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Falcón, R.M.; álvarez, V.; Frau, M.D.; Gudiel, F.; Güemes, M.B. Pseudococyclic Partial Hadamard Matrices over Latin Rectangles. Mathematics 2021, 9, 113.
AMA Style
Falcón RM, álvarez V, Frau MD, Gudiel F, Güemes MB. Pseudococyclic Partial Hadamard Matrices over Latin Rectangles. Mathematics. 2021; 9(2):113.
Chicago/Turabian StyleFalcón, Raúl M.; álvarez, Víctor; Frau, María D.; Gudiel, Félix; Güemes, María B. 2021. "Pseudococyclic Partial Hadamard Matrices over Latin Rectangles" Mathematics 9, no. 2: 113.
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