
EFD
 Referenced in 35 articles
[sw04152]
 Formulas Database: Analysis and optimization of ellipticcurve singlescalar multiplication. The authors study ... ellipticcurve singlescalar multiplication over finite fields, i.e. given a finite field ... ground field), an elliptic curve E (with small parameters), an integer n (the scalar ... provide a model for every elliptic curve. Since the precomputation of some little multiples...

SIMATH
 Referenced in 30 articles
[sw00861]
 problems, with a special emphasis on elliptic curves and cryptography. SIMATH...

mwrank
 Referenced in 24 articles
[sw08614]
 computing MordellWeil groups of elliptic curves over Q via 2descent. It is available...

LMFDB
 Referenced in 24 articles
[sw07249]
 functions coming from modular forms, elliptic curves, number fields, and Dirichlet characters, as well...

MIRACL
 Referenced in 22 articles
[sw06009]
 particularly adept at methods based on Elliptic Curves, and the new paradigm of PairingBased...

PBC Library
 Referenced in 10 articles
[sw09829]
 goals. It provides routines such as elliptic curve generation, elliptic curve arithmetic and pairing computation...

APECS
 Referenced in 14 articles
[sw13629]
 Maple program apecs (arithmetic of plane elliptic curves...

BarretoNaehrig
 Referenced in 12 articles
[sw06611]
 optimal ate pairing over BarretoNaehrig curves This paper describes the design of a fast ... pairing on a BarretoNaehrig elliptic curve. Our library is able to compute the optimal...

TinyECC
 Referenced in 12 articles
[sw09089]
 TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks. TinyECC...

ellipticcovers.lib
 Referenced in 4 articles
[sw20805]
 library for GromovWitten invariants of elliptic curves: Tropical mirror symmetry for elliptic curves: Mirror ... relates GromovWitten invariants of an elliptic curve with certain integrals over Feynman graphs ... tropical generalization of mirror symmetry for elliptic curves, i.e., a statement relating certain labeled Gromov ... Witten invariants of a tropical elliptic curve to more refined Feynman integrals. This result easily...

Echidna
 Referenced in 8 articles
[sw14674]
 Echidna Databases. Databases for Elliptic Curves and Higher Dimensional Analogues...

ARIBAS
 Referenced in 7 articles
[sw07341]
 prime test, factorization algorithms (Pollard rho, elliptic curve, continued fraction, quadratic sieve), etc. ARIBAS...

TECC
 Referenced in 4 articles
[sw04699]
 Computing elliptic curves using KASH. The package TECC is a program library written ... aimed at doing basic arithmetic of elliptic curves defined over number fields. We outline...

SIDH
 Referenced in 5 articles
[sw17952]
 Hellman with a highsecurity classical elliptic curve DiffieHellman key exchange at a small...

NanoECC
 Referenced in 3 articles
[sw19226]
 NanoECC: Testing the limits of elliptic curve cryptography in sensor networks. By using Elliptic Curve...

ELLFF
 Referenced in 2 articles
[sw06804]
 quadratic twists of a fixed elliptic curve in the function field setting. In particular ... four classes of nonisogenous elliptic curves over $Bbb F_q(t)$ with ... function of these elliptic curves, and we present the key results necessary to implement ... compute the Lfunction of nonisotrivial elliptic curves over $Bbb F_q(t)$ by realizing...

EAGL
 Referenced in 2 articles
[sw08231]
 EAGL: an elliptic curve arithmetic GPUbased library for bilinear pairing. In this paper ... present the elliptic curve arithmetic GPUbased library (EAGL), a selfcontained GPU library...

GMPECM
 Referenced in 3 articles
[sw14132]
 elliptic curve method for integer factorization...

BFFL
 Referenced in 3 articles
[sw05403]
 base for cryptographic protocols based on elliptic curves...

EECMMPFQ
 Referenced in 2 articles
[sw19558]
 fast implementation of the ellipticcurve method of factoring integers. EECMMPFQ was introduced...