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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Author

Listed:
  • 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)

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.

Suggested Citation

  • Raúl M. Falcón & Víctor Álvarez & María Dolores Frau & Félix Gudiel & María Belén Güemes, 2021. "Pseudococyclic Partial Hadamard Matrices over Latin Rectangles," Mathematics, MDPI, vol. 9(2), pages 1-20, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:113-:d:475885
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