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Skew codes
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-commutative polynomial rings, so called Ore rings. We propose a... -
Polynomial systems solving and elliptic curve cryptography
Since the last decade, attacks on the elliptic curve discrete logarithm problem (ECDLP) which requires to solve polynomial systems have been quite successful. This... -
Position de Noether Forte et Régularités Stabilisées
Dans cet article, nous présentons la notion d'un idéal homogène en position de Noether forte (PNF) ; une nouvelle définition pour la notion des coordonnées génériques...
