138 citations · 204 across the 15 of their papers we have counts for
4 papers · 1 filter
An Upper-Bound on the Decoding Failure Probability of the LRPC Decoder
Étienne Burle, Ayoub Otmani
Low Rank Parity Check (LRPC) codes form a class of rank-metric error-correcting codes that was purposely introduced to design public-key encryption schemes. An LRPC code is defined…
Algebraic Properties of Polar Codes From a New Polynomial Formalism
Magali Bardet, Vlad Dragoi, Ayoub Otmani +1
Polar codes form a very powerful family of codes with a low complexity decoding algorithm that attain many information theoretic limits in error correction and source coding. These…
Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups
Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret +2
The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alter…
New Identities Relating Wild Goppa Codes
Alain Couvreur, Ayoub Otmani, Jean-Pierre Tillich
For a given support and a polynomial with no roots in , we prove equality between the -ary Goppa codes $Γ…