• ComputeL

  • Referenced in 7 articles [sw31452]
  • field; L-functions associated to (H1 of) curves of genus ... conjecture for the Buhler-Gross-Zagier elliptic curve of Mordell-Weil rank 3. L-functions...
  • Koblitz curves

  • Referenced in 3 articles [sw29876]
  • Koblitz curves over quadratic fields. In this work, we retake an old idea that Koblitz ... suggested the possibility of defining anomalous elliptic curves over the base field F4. We present ... also introduce two ordinary Koblitz-like elliptic curves defined over F4 that are equipped with...
  • GMP-ECM

  • Referenced in 4 articles [sw14132]
  • elliptic curve method for integer factorization...
  • HACL*

  • Referenced in 4 articles [sw36852]
  • hash functions, the Curve25519 elliptic curve, and Ed25519 signatures. HACL* is written...
  • 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...
  • eclib

  • Referenced in 3 articles [sw08615]
  • computing Mordell-Weil groups of elliptic curves over Q via 2-descent. It is available...
  • Falcon

  • Referenced in 3 articles [sw31410]
  • Diffie-Hellman, ElGamal, and their elliptic curve variants). Falcon is based on the theoretical framework...
  • Connecting Legendre

  • Referenced in 1 article [sw29706]
  • Scalar multiplication on suitable Legendre form elliptic curves can be speeded up in two ways ... appropriate twisted Edwards form elliptic curve. This paper provides details of moving to and from ... between Legendre form elliptic curves and associated Kummer line and moving to and from between ... Legendre form elliptic curves and related twisted Edwards form elliptic curves. Further, concrete twisted Edwards...
  • EECM-MPFQ

  • Referenced in 2 articles [sw19558]
  • fast implementation of the elliptic-curve method of factoring integers. EECM-MPFQ was introduced...
  • ecdegsets

  • Referenced in 2 articles [sw34787]
  • images and ℓ-torsion points of elliptic curves with rational j-invariant...
  • FourQlib

  • Referenced in 2 articles [sw30301]
  • that provides functions for computing essential elliptic curve operations on a new, high-performance curve...
  • Primo

  • Referenced in 2 articles [sw06902]
  • proving program based on the ECPP (Elliptic Curve Primality Proving) algorithm. Given positive odd integers...
  • MoTE-ECC

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

  • Referenced in 1 article [sw19557]
  • implementation of the elliptic curve method of integer factorization which uses certain twisted Hessian curves ... torsion subgroup injection for families of elliptic curves over a quartic number field, in addition...
  • Hydra

  • Referenced in 1 article [sw25438]
  • energy-efficient programmable cryptographic coprocessor supporting elliptic-curve pairings over fields of large characteristics. Bilinear ... pairings on elliptic curves have many applications in cryptography and cryptanalysis. Pairing computation is more...
  • mdmagma

  • Referenced in 1 article [sw22696]
  • curve X1(N), Torsion subgroups of elliptic curves over quintic and sextic number fields...
  • ecmh

  • Referenced in 1 article [sw18872]
  • Elliptic Curve Multiset Hash library...
  • Floodyberry

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

  • Referenced in 1 article [sw23888]
  • that provides functions for computing essential elliptic curve operations on a new set of high...