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cs.IT2020
A general family of MSRD codes and PMDS codes with smaller field sizes from extended Moore matrices
Umberto Martínez-Peñas
We construct six new explicit families of linear maximum sum-rank distance (MSRD) codes, each of which has the smallest field sizes among all known MSRD codes for some parameter re…
cs.IT2020
Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes
Umberto Martínez-Peñas
In this work, cyclic-skew-cyclic codes and sum-rank BCH codes are introduced. Cyclic-skew-cyclic codes are characterized as left ideals of a suitable non-commutative finite ring, c…