J. Borges

most citedZ2Z4-linear codes: generator matrices and duality

16 citations · 17 across the 2 of their papers we have counts for

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cs.IT2009★ 1 cited

Self-Dual Codes over Z_2xZ_4

J. Borges, S. T. Dougherty, C. Fernandez-Cordoba

Self-dual codes over $Z_{2} \times Z_{4}$ are subgroups of $Z_{2}^{α} \times Z_{4}^{β}$ that are equal to their orthogonal under an inner-product that relates to the binary Hamming scheme. Thr…

cs.IT2007★ 16 cited

Z2Z4-linear codes: generator matrices and duality

J. Borges, C. Fernandez, J. Pujol +2

A code $C$ is $Z_{2} Z_{4}$ -additive if the set of coordinates can be partitioned into two subsets $X$ and $Y$ such that the punctured code of $C$ by deleting the coordi…

cs.IT2007★ 1 cited

Plotkin construction: rank and kernel

Joaquim Borges, Cristina Fernandez

Given two binary codes of length n, using Plotkin construction we obtain a code of length 2n. The construction works for linear and nonlinear codes. For the linear case, it is stra…