25 citations · 57 across the 21 of their papers we have counts for
21 papers
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…
On Z2Z4-additive complementary dual codes and related LCD codes
Nasreddine Benbelkacem, Joaquim Borges, Steven T. Dougherty +1
Linear complementary dual codes were defined by Massey in 1992, and were used to give an optimum linear coding solution for the two user binary adder channel. In this paper, we def…
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…
Z2Z4-Additive Cyclic Codes: Kernel and Rank
J. Borges, S. T. Dougherty, C. Fernández-Córdoba +1
A Z2Z4-additive code C subset of Z_2^alpha x Z_4^beta is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z_2 and the set of Z_4 coordinates,…
Binary Images of Z2Z4-Additive Cyclic Codes
J. Borges, S. T. Dougherty, C. Fernández-Córdoba +1
A Z2Z4-additive code C is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z_2 and the set of Z_4 coordinates, such that any cyclic shift of…