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Open AccessFeature PaperArticle

Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
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Author to whom correspondence should be addressed.
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 Hadamard matrix; Latin rectangle; pseudocoboundary; pseudococycle; quasigroup
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 Style

Falcón, 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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