12 citations · 26 across the 15 of their papers we have counts for
3 papers · 1 filter
Asymptotically good CSS-T codes and a new construction of triorthogonal codes
Elena Berardini, Reza Dastbasteh, Josu Etxezarreta Martinez +2
We propose a new systematic construction of CSS-T codes from any given CSS code using a map . When is the identity map , we retrieve the construction of [1] and use it to…
Abelian surfaces over finite fields containing no curves of genus or less
Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia
We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…
Reed-Muller codes in the sum-rank metric
Elena Berardini, Xavier Caruso
We introduce the sum-rank metric analogue of Reed--Muller codes, which we called linearized Reed--Muller codes, using multivariate Ore polynomials. We study the parameters of these…