TY - JOUR
T1 - On the number of distinct elliptic curves in some families
AU - Rezaeian Farashahi, Reza
AU - Shparlinski, Igor E.
PY - 2010/1
Y1 - 2010/1
N2 - We give explicit formulas for the number of distinct elliptic curves over a finite field (up to isomorphism over the algebraic closure of the ground field) in several families of curves of cryptographic interest such as Edwards curves and their generalization due to D. J. Bernstein and T. Lange as well as the curves introduced by C. Doche, T. Icart and D. R. Kohel.
AB - We give explicit formulas for the number of distinct elliptic curves over a finite field (up to isomorphism over the algebraic closure of the ground field) in several families of curves of cryptographic interest such as Edwards curves and their generalization due to D. J. Bernstein and T. Lange as well as the curves introduced by C. Doche, T. Icart and D. R. Kohel.
UR - http://www.scopus.com/inward/record.url?scp=76449096505&partnerID=8YFLogxK
U2 - 10.1007/s10623-009-9310-2
DO - 10.1007/s10623-009-9310-2
M3 - Article
AN - SCOPUS:76449096505
SN - 0925-1022
VL - 54
SP - 83
EP - 99
JO - Designs, Codes and Cryptography
JF - Designs, Codes and Cryptography
IS - 1
ER -