The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

We propose a fully functional identity-based encryption scheme (IBE). The scheme has
chosen ciphertext security in the random oracle model assuming an elliptic curve variant of …

Background Elliptic curve cryptographic schemes were proposed independently in 1985 by
Neal Koblitz (Koblitz 1987) and Victor Miller (Miller 1986). They are the elliptic curve …

We introduce a short signature scheme based on the Computational Diffie-Hellman
assumption on certain elliptic and hyper-elliptic curves. The signature length is half the size …

This paper introduces and makes concrete the concept of certificateless public key
cryptography (CL-PKC), a model for the use of public key cryptography which avoids the …

We propose a fully functional identity-based encryption (IBE) scheme. The scheme has
chosen ciphertext security in the random oracle model assuming a variant of the …

We introduce a short signature scheme based on the Computational Diffie–Hellman
assumption on certain elliptic and hyperelliptic curves. For standard security parameters, the …

In this paper we propose an identity (ID)-based signature scheme using gap Diffie-Hellman
(GDH) groups. Our scheme is proved secure against existential forgery on adaptively …

We develop an efficient identity based signature scheme based on pairings whose security
relies on the hardness of the Diffie-Hellman problem in the random oracle model. We …

We describe fast new algorithms to implement recent cryptosystems based on the Tate
pairing. In particular, our techniques improve pairing evaluation speed by a factor of about …