3 citations · 3 across the 4 of their papers we have counts for
4 papers
Recursive decoding of binary rank Reed-Muller codes and Plotkin construction for matrix codes
Alain Couvreur, Rakhi Pratihar
In 2021, Augot, Couvreur, Lavauzelle and Neri introduced a new class of rank metric codes which can be regarded as rank metric counterparts of Reed-Muller codes. Given a finite Gal…
On the structure of the Schur squares of Twisted Generalized Reed-Solomon codes and application to cryptanalysis
Alain Couvreur, Rakhi Pratihar, Nihan Tanısalı +1
Twisted generalized Reed-Solomon (TGRS) codes constitute an interesting family of evaluation codes, containing a large class of maximum distance separable codes non-equivalent to g…
Decoding rank metric Reed-Muller codes
Alain Couvreur, Rakhi Pratihar
In this article, we investigate the decoding of the rank metric Reed--Muller codes introduced by Augot, Couvreur, Lavauzelle and Neri in 2021. These codes are defined from Abelian…
A Construction of Quantum LDPC Codes from Cayley Graphs
Alain Couvreur, Nicolas Delfosse, Gilles Zémor
We study a construction of Quantum LDPC codes proposed by MacKay, Mitchison and Shokrollahi. It is based on the Cayley graph of Fn together with a set of generators regarded as the…