• # EFD

• Referenced in 44 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...
• # zk-SNARK

• Referenced in 9 articles [sw22495]
• Scalable zero knowledge via cycles of elliptic curves. Non-interactive zero-knowledge proofs of knowledge ... enormous computational cost. Using new elliptic-curve cryptographic techniques, and methods for exploiting the proof...
• # Barreto-Naehrig

• Referenced in 12 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...
• # ellipticcovers.lib

• Referenced in 4 articles [sw20805]
• library for Gromov-Witten invariants of elliptic curves: Tropical mirror symmetry for elliptic curves: Mirror ... relates Gromov-Witten 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...
• # 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...