Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Raúl M. Falcón, Víctor Álvarez, María Dolores Frau, Félix Gudiel and María Belén Güemes
Additional contact information
Raúl M. Falcón: Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
Víctor Álvarez: Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
María Dolores Frau: Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
Félix Gudiel: Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain
María Belén Güemes: Department of Applied Mathematics I, University of Seville, 41004 Sevilla, Spain

Mathematics, 2021, vol. 9, issue 2, 1-20

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/2/113/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/2/113/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:2:p:113-:d:475885

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().