Set of Points on Elliptic Curve in Projective Coordinates

Yuichi Futa; Hiroyuki Okazaki; Yasunari Shidama

Formalized Mathematics (2011)

  • Volume: 19, Issue: 3, page 131-138
  • ISSN: 1426-2630

Abstract

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In this article, we formalize a set of points on an elliptic curve over GF(p). Elliptic curve cryptography [10], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security.

How to cite

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Yuichi Futa, Hiroyuki Okazaki, and Yasunari Shidama. "Set of Points on Elliptic Curve in Projective Coordinates." Formalized Mathematics 19.3 (2011): 131-138. <http://eudml.org/doc/267455>.

@article{YuichiFuta2011,
abstract = {In this article, we formalize a set of points on an elliptic curve over GF(p). Elliptic curve cryptography [10], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security.},
author = {Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {131-138},
title = {Set of Points on Elliptic Curve in Projective Coordinates},
url = {http://eudml.org/doc/267455},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Yuichi Futa
AU - Hiroyuki Okazaki
AU - Yasunari Shidama
TI - Set of Points on Elliptic Curve in Projective Coordinates
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 3
SP - 131
EP - 138
AB - In this article, we formalize a set of points on an elliptic curve over GF(p). Elliptic curve cryptography [10], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security.
LA - eng
UR - http://eudml.org/doc/267455
ER -

References

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