44 citations · 182 across the 32 of their papers we have counts for
4 papers · 1 filter
How many weights can a cyclic code have ?
Minjia Shi, Xiaoxiao Li, Alessandro Neri +1
Upper and lower bounds on the largest number of weights in a cyclic code of given length, dimension and alphabet are given. An application to irreducible cyclic codes is considered…
Systematic encoders for generalized Gabidulin codes and the -analogue of Cauchy matrices
Alessandro Neri
We characterize the generator matrix in standard form of generalized Gabidulin codes. The parametrization we get for the non-systematic part of this matrix coincides with the -a…
Maximum Weight Spectrum Codes
Tim L. Alderson, Alessandro Neri
In the recent work \cite{shi18}, a combinatorial problem concerning linear codes over a finite field $\F_q$ was introduced. In that work the authors studied the weight set of an $[…
Random Construction of Partial MDS Codes
Alessandro Neri, Anna-Lena Horlemann-Trautmann
This work deals with partial MDS (PMDS) codes, a special class of locally repairable codes, used for distributed storage system. We first show that a known construction of these co…