
EFD
 Referenced in 44 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...

LMFDB
 Referenced in 38 articles
[sw07249]
 functions coming from modular forms, elliptic curves, number fields, and Dirichlet characters, as well...

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

MIRACL
 Referenced in 27 articles
[sw06009]
 particularly adept at methods based on Elliptic Curves, and the new paradigm of PairingBased...

mwrank
 Referenced in 25 articles
[sw08614]
 computing MordellWeil groups of elliptic curves over Q via 2descent. It is available...

PBC Library
 Referenced in 12 articles
[sw09829]
 goals. It provides routines such as elliptic curve generation, elliptic curve arithmetic and pairing computation...

TinyECC
 Referenced in 15 articles
[sw09089]
 TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks. TinyECC...

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

zkSNARK
 Referenced in 9 articles
[sw22495]
 Scalable zero knowledge via cycles of elliptic curves. Noninteractive zeroknowledge proofs of knowledge ... enormous computational cost. Using new ellipticcurve cryptographic techniques, and methods for exploiting the proof...

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...

ARIBAS
 Referenced in 9 articles
[sw07341]
 prime test, factorization algorithms (Pollard rho, elliptic curve, continued fraction, quadratic sieve), etc. ARIBAS...

NanoECC
 Referenced in 6 articles
[sw19226]
 NanoECC: Testing the limits of elliptic curve cryptography in sensor networks. By using Elliptic Curve...

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...

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 6 articles
[sw17952]
 Hellman with a highsecurity classical elliptic curve DiffieHellman key exchange at a small...

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...

GMPECM
 Referenced in 4 articles
[sw14132]
 elliptic curve method for integer factorization...

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...

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