44 citations · 73 across the 16 of their papers we have counts for
20 papers · 1 filter
Quantum Matrix-Product Codes: CSS-T Characterization and Maximality
Delio Jaramillo-Velez, Alessandro Neri, Adway Patra +2
CSS-T codes are quantum error-correcting codes that play an important role in fault-tolerant quantum computation, as they help mitigate the proliferation of errors. They admit a tr…
An infinite family of non-extendable MRD codes
Daniele Bartoli, Alessandro Giannoni, Giuseppe Marino +1
In the realm of rank-metric codes, Maximum Rank Distance (MRD) codes are optimal algebraic structures attaining the Singleton-like bound. A major open problem in this field is dete…
Sum-rank product codes and bounds on the minimum distance
Gianira N. Alfarano, F. J. Lobillo, Alessandro Neri +1
The tensor product of one code endowed with the Hamming metric and one endowed with the rank metric is analyzed. This gives a code which naturally inherits the sum-rank metric. Spe…
Extending two families of maximum rank distance codes
Alessandro Neri, Paolo Santonastaso, Ferdinando Zullo
In this paper we provide a large family of rank-metric codes, which contains properly the codes recently found by Longobardi and Zanella (2021) and by Longobardi, Marino, Trombetti…
Moderate Density Parity-Check Codes from Projective Bundles
Jessica Bariffi, Sam Mattheus, Alessandro Neri +1
A new construction for moderate density parity-check (MDPC) codes using finite geometry is proposed. We design a parity-check matrix for this family of binary codes as the concaten…
Decoding of Interleaved Alternant Codes
Lukas Holzbaur, Hedongliang Liu, Alessandro Neri +4
Interleaved Reed-Solomon codes admit efficient decoding algorithms which correct burst errors far beyond half the minimum distance in the random errors regime, e.g., by computing a…