TY - JOUR
ID - 243991
TI - The review on elliptic curves as cryptographic pairing groups
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Khamseh, Elaheh
AD - Department of Mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.
Y1 - 2021
PY - 2021
VL - 2
IS - 2
SP - 50
EP - 59
KW - Elliptic curve
KW - Bilinear map
KW - Pairing-based cryptography
DO - 10.30511/mcs.2021.525072.1017
N2 - Elliptic curve is a set of two variable points on polynomials of degree 3 over a field actedby an addition operation that forms a group structure. The motivation of this study is that themathematics behind that elliptic curve to the applicability within a cryptosystem. Nowadays, pair-ings bilinear maps on elliptic curve are popular to construct cryptographic protocol pairings help totransform a discrete logarithm problem on an elliptic curve to the discrete logarithm problem in niteelds. The purpose of this paper is to introduce elliptic curve, bilinear pairings on elliptic curves asbased on pairing cryptography. Also this investigation serves as a basis in guiding anyone interestedto understand one of the applications of group theory in cryptosystem.
UR - http://mcs.qut.ac.ir/article_243991.html
L1 - http://mcs.qut.ac.ir/article_243991_eeec46e5d19e61e047b8298801dcb72a.pdf
ER -