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On the Number of Distinct Legendre, Jacobi,Hessian and Edwards Curves (Extended Abstract)
- Publication Year :
- 2011
- Publisher :
- HAL CCSD, 2011.
-
Abstract
- We give explicit formulas for the number of distinct elliptic curves over a nite eld, up to isomorphism, in the families of Legendre, Jacobi, Hessian and Edwards curves.
- Subjects :
- Legendre curve
Hessian curve
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT]
cryptography
isomorphism
j-invariant
Elliptic curve
Edwards curve
[INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT]
Jacobi curve
[INFO.INFO-CR] Computer Science [cs]/Cryptography and Security [cs.CR]
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.dedup.wf.001..17460f755b525b49c2cbc2a169965764