• EFD

  • Referenced in 30 articles [sw04152]
  • Formulas Database: Analysis and optimization of elliptic-curve single-scalar multiplication. The authors study ... elliptic-curve single-scalar 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 28 articles [sw00861]
  • problems, with a special emphasis on elliptic curves and cryptography. SIMATH...
  • MIRACL

  • Referenced in 20 articles [sw06009]
  • particularly adept at methods based on Elliptic Curves, and the new paradigm of Pairing-Based...
  • mwrank

  • Referenced in 17 articles [sw08614]
  • computing Mordell-Weil groups of elliptic curves over Q via 2-descent. It is available...
  • PBC Library

  • Referenced in 8 articles [sw09829]
  • goals. It provides routines such as elliptic curve generation, elliptic curve arithmetic and pairing computation...
  • Barreto-Naehrig

  • Referenced in 11 articles [sw06611]
  • optimal ate pairing over Barreto-Naehrig curves This paper describes the design of a fast ... pairing on a Barreto-Naehrig elliptic curve. Our library is able to compute the optimal...
  • TinyECC

  • Referenced in 9 articles [sw09089]
  • TinyECC: A Configurable Library for Elliptic Curve Cryptography in Wireless Sensor Networks. TinyECC...
  • LMFDB

  • Referenced in 9 articles [sw07249]
  • functions coming from modular forms, elliptic curves, number fields, and Dirichlet characters, as well...
  • APECS

  • Referenced in 8 articles [sw13629]
  • Maple program apecs (arithmetic of plane elliptic curves...
  • Echidna

  • Referenced in 7 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...
  • 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 L-function of nonisotrivial elliptic curves over $Bbb F_q(t)$ by realizing...
  • EAGL

  • Referenced in 2 articles [sw08231]
  • EAGL: an elliptic curve arithmetic GPU-based library for bilinear pairing. In this paper ... present the elliptic curve arithmetic GPU-based library (EAGL), a self-contained GPU library...
  • BFFL

  • Referenced in 3 articles [sw05403]
  • base for cryptographic protocols based on elliptic curves...
  • GMP-ECM

  • Referenced in 2 articles [sw14132]
  • elliptic curve method for integer factorization...
  • MoTE-ECC

  • Referenced in 2 articles [sw09247]
  • Mote-ECC: energy-scalable elliptic curve cryptography for wireless sensor networks Wireless sensor networks (WSNs...
  • eclib

  • Referenced in 2 articles [sw08615]
  • computing Mordell-Weil groups of elliptic curves over Q via 2-descent. It is available...
  • Floodyberry

  • Referenced in 1 article [sw13114]
  • Floodyberry”: implementations of a fast elliptic-curve digital signature algorithm...
  • Primo

  • Referenced in 1 article [sw06902]
  • proving program based on the ECPP (Elliptic Curve Primality Proving) algorithm. Given positive odd integers...