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20062025
most citedZ2Z4-linear codes: generator matrices and duality

16 citations · 57 across the 29 of their papers we have counts for

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cs.IT2023

On new infinite families of completely regular and completely transitive codes

Joaquim Borges, Josep Rifà, Victor Zinoviev

In two previous papers we constructed new families of completely regular codes by concatenation methods. Here we determine cases in which the new codes are completely transitive. F…

cs.IT2020★ 1 cited

Rank and Kernel of -Additive Generalised Hadamard Codes

Steven T. Dougherty, Josep Rifà, Mercè Villanueva

A subset of a vector space is -additive if it is a linear space over the subfield . Let , prime, and . Bounds on the ra…

cs.IT2015★ 13 cited

Ranks and Kernels of Codes from Generalized Hadamard Matrices

Steven T. Dougherty, Josep Rifà, Mercè Villanueva

The ranks and kernels of generalized Hadamard matrices are studied. It is proven that any generalized Hadamard matrix over , , or and , g…

cs.IT2013

On a family of binary completely transitive codes with growing covering radius

J. Rifa, V. Zinoviev

A new family of binary linear completely transitive (and, therefore, completely regular) codes is constructed. The covering radius of these codes is growing with the length of the…

cs.IT2012

Self-embeddings of Hamming Steiner triple systems of small order and APN permutations

J. Rifà, F. I. Solov'eva, M. Villanueva

The classification, up to isomorphism, of all self-embedding monomial power permutations of Hamming Steiner triple systems of order n=2^m-1 for small m, m < 23, is given. As far as…

cs.IT2012★ 3 cited

Families of Hadamard Z2Z4Q8-codes

Ángel del Rio, Josep Rifà

A Z2Z4Q8-code is a non-empty subgroup of a direct product of copies of Z_2, Z_4 and Q_8 (the binary field, the ring of integers modulo 4 and the quaternion group on eight elements,…