Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves y2=xp-x+1 Over a Finite Field of Odd Characteristic p
- 1 January 2000
- book chapter
- Published by Springer Nature
Abstract
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This publication has 23 references indexed in Scilit:
- An improved algorithm for arithmetic on a family of elliptic curvesPublished by Springer Nature ,1997
- On computing logarithms on elliptic curvesDiscrete Mathematics and Applications, 1996
- Reducing elliptic curve logarithms to logarithms in a finite fieldIEEE Transactions on Information Theory, 1993
- On computing factors of cyclotomic polynomialsMathematics of Computation, 1993
- Frobenius maps of abelian varieties and finding roots of unity in finite fieldsMathematics of Computation, 1990
- Elliptic curve cryptosystemsMathematics of Computation, 1987
- A public key cryptosystem and a signature scheme based on discrete logarithmsIEEE Transactions on Information Theory, 1985
- A method for obtaining digital signatures and public-key cryptosystemsCommunications of the ACM, 1978
- An improved algorithm for computing logarithms overGF(p)and its cryptographic significance (Corresp.)IEEE Transactions on Information Theory, 1978
- New directions in cryptographyIEEE Transactions on Information Theory, 1976