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cs.IT2025
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…
cs.IT2025
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…
cs.IT2025
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…