Identification methods over Ea,bn

  • Authors:

  • Chillali Abdelhakim

  • Affiliations:

  • Department of Mathematics and Computer, Faculty of Science, Fez, Morocco,

  • Venue:
  • ICACM'11 Proceedings of the 2011 international conference on Applied & computational mathematics
  • Year:
  • 2011

  • The Jεn-invariant of EA,Bn

    ICANCM'11/ICDCC'11 Proceedings of the 2011 international conference on applied, numerical and computational mathematics, and Proceedings of the 2011 international conference on Computers, digital communications and computing

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Abstract

In this work we study the elliptic curve over the artinian principal ideal ring An = Fq[ε], (εn = 0). More precisely, we establish a group homomorphism betweens (Fqn-1, +) and the abelian group Ea,bn of elliptic curve. For cryptography applications, we give a strongly collision resistant function on Ea,bn and identification methods on Ea,bn.