16 citations · 57 across the 29 of their papers we have counts for
29 papers
On maximum distance separable and completely regular codes
Joaquim Borges, Josep Rifà, Victor Zinoviev
We investigate when a maximum distance separable () code over is also completely regular (). For lengths and we provide a complete classification of…
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…
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…
On completely regular and completely transitive codes derived from Hamming codes
J. Borges, J. Rifà, V. A. Zinoviev
Given a parity-check matrix of a -ary Hamming code, we consider a partition of the columns into two subsets. Then, we consider the two codes that have these submatrices as…
Hadamard full propelinear codes with associated group ; rank and kernel
Ivan Bailera, Joaquim Borges, Josep Rifà
We introduce the Hadamard full propelinear codes that factorize as direct product of groups such that their associated group is . We study the rank, the dimension…
Circulant Hadamard matrices as HFP-codes of type
Josep Rifà
We prove that a circulant Hadamard code of length can always be seen as an HFP-code (Hadamard full propelinear code) of type , where o…