WEIL PAIRING PADA KRIPTOGRAFI KURVA ELIPTIK; ( WEIL PAIRING ON ELLIPTIC CURVE CRYPTOGRAPHY )

MUBAROK, NAJIB, Sri Wahyuni

2016 | Disertasi | FMIPA

Given elliptic curve E : y2 = x3 + ax + b over field K with char(K) 62 f2; 3g. The subgroup E[n] is formed by taking all n-torsion elements of elliptic curve group E(K). In this thesis, we will discuss the construction and the properties of Weil pairing that is a map from E[n] ? En to a multiplicative group formed by n-th roots of unity in K. Furthermore, Weil pairing has three important properties, that are bilinearity, identity, and non-degeneracy that make Weil pairing applicable in both cryptanalysis and cryptography. In Cryptanalysis, Weil pairing is used to reduce the security of elliptic curves discrete logarithm problem known as MOV attack.

Kata Kunci : N