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Artículo
Generalized Hadamard full propelinear codes
(Springer, 2021)
Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized ...
Artículo
Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices
(Springer, 2023-08-23)
In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We establish a broader network of equivalences ...
Artículo
Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood
(Springer, 2020)
A quasi-orthogonal cocycle, defined over a group of order congruent to 2 modulo 4, is naturally analogous to an orthogonal cocycle (i.e., one defined over a group of order divisible by 4, and whose display matrix is ...
Artículo
Butson full propelinear codes
(Cornell University, 2020)
In this paper we study Butson Hadamard matrices, and codes over finite rings coming from these matrices in logarithmic form, called BH-codes. We introduce a new morphism of Butson Hadamard matrices through a generalized ...