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GMP-ECC

Introduction

A proof-of-concept library implementing scalar multiplication (or point multiplication) for elliptic curves. The code is written in C using GMP http://gmplib.org .

Algorithms for scalar multiplication with unknown point:

  • Left-to-right
  • Right-to-left
  • NAF
  • wNAF
  • Sliding window

Algorithms for scalar multiplication with fixed point:

  • Fixed-base windowing (BGMW)
  • Fixed-base comb

Parameters of the elliptic curve belong to NIST P-256.

Authors

  • Israel Leiva
  • Cristóbal Leiva
  • Félix Pérez

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