Abstract. We consider the use of Jacobian coordinates for Tate pairing over general characteristics. The idea of encapsulated double-andline computation and add-and-line computatio...
Pairing-based cryptosystems (PBC) have been attracted by researchers in cryptography. Some implementations show that PBC are relatively slower than the standard public key cryptosy...
Pairings on elliptic curves have been used as cryptographic primitives for the development of new applications such as identity based schemes. For the practical applications, it is...
Tae-Hyun Kim, Tsuyoshi Takagi, Dong-Guk Han, Ho Wo...
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...