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Communication Dans Un Congrès Année : 2022

Improved decoding of symmetric rank metric errors

Résumé

We consider the decoding of rank metric codes assuming the error matrix is symmetric. We prove two results. First, for rates $<1/2$ there exists a broad family of rank metric codes for which any symmetric error pattern, even of maximal rank can be corrected. Moreover, the corresponding family of decodable codes includes Gabidulin codes of rate $<1/2$. Second, for rates $>1/2$, we propose a decoder correcting symmetric errors of rank up to $n-k$. The two mentioned decoders are deterministic and worst case.

Dates et versions

hal-03920845 , version 1 (03-01-2023)

Identifiants

Citer

Alain Couvreur. Improved decoding of symmetric rank metric errors. 2023 IEEE Information Theory Workshop (ITW), Apr 2023, Saint-Malo, France. pp.238-242, ⟨10.1109/ITW55543.2023.10161649⟩. ⟨hal-03920845⟩
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