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cs.IT2026
On the structure of polynomial ideal codes and additive Reed--Solomon codes
Umberto Martínez-Peñas, Rubén Rodríguez-Ballesteros
We study structural properties of polynomial ideal (PI) codes and additive Reed--Solomon (aRS) codes in the folded Hamming metric (equivalently, the Hamming metric over a larger al…
cs.IT2026
Upper bounds on the length of quasi-MDS codes
Umberto Martínez-Peñas, Rubén Rodríguez-Ballesteros
We study upper bounds on the length of -linear QMDS codes in the folded Hamming distance relative to their other parameters, especially the field size . Via a corre…
cs.IT2024
Linear codes in the folded Hamming distance and the quasi MDS property
Umberto Martínez-Peñas, Rubén Rodríguez-Ballesteros
In this work, we study linear codes with the folded Hamming distance, or equivalently, codes with the classical Hamming distance that are linear over a subfield. This includes addi…