Cristina Fernández-Córdoba

collaborators

4 papers

cs.IT2024

Computing efficiently a parity-check matrix for Zps-additive codes

Cristina Fernández-Córdoba, Adrián Torres, Carlos Vela +1

The Zps-additive codes of length n are subgroups of Zps^n , and can be seen as a generalization of linear codes over Z2, Z4, or more general over Z2s . In this paper, we show two m…

cs.IT2022

Construction and Linearity of Z_pZ_{p^2}-Linear Generalized Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Mercè Villanueva

The $Z_{p} Z_{p^{2}}$ -additive codes are subgroups of $Z_{p}^{α_{1}} \times Z_{p^{2}}^{α_{2}}$ , and can be seen as linear codes over $Z_{p}$ when $α_{2} = 0$ , $Z_{p^{2}}$ -additive codes when $α_1…

cs.IT2022

Equivalences among Z_{p^s}-linear Generalized Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Carlos Vela +1

The $Z_{p^{s}}$ -additive codes of length $n$ are subgroups of $Z_{p^{s}}^{n}$ , and can be seen as a generalization of linear codes over $Z_{2}$ , $Z_{4}$ , or $Z_{2^{s}}$ in general. A $\Z_…

cs.IT2022

On $Z_{p^{r}} Z_{p^{r}} Z_{p^{s}}$ -Additive Cyclic Codes

Cristina Fernández-Córdoba, Sachin Pathak, Ashish Kumar Upadhyay

In this paper, we introduce $Z_{p^{r}} Z_{p^{r}} Z_{p^{s}}$ -additive cyclic codes for $r \leq s$ . These codes can be identified as $Z_{p^{s}} [x]$ -submodule…

Computing efficiently a parity-check matrix for Zps-additive codes

Construction and Linearity of Z_pZ_{p^2}-Linear Generalized Hadamard Codes

Equivalences among Z_{p^s}-linear Generalized Hadamard Codes

On Zpr​Zpr​Zps​-Additive Cyclic Codes

On $Z_{p^{r}} Z_{p^{r}} Z_{p^{s}}$ -Additive Cyclic Codes