Title
Hardware and Software Normal Basis Arithmetic for Pairing-Based Cryptography in Characteristic Three
Abstract
Although identity-based cryptography offers a number of functional advantages over conventional public key methods, the computational costs are significantly greater. The dominant part of this cost is the Tate pairing, which, in characteristic three, is best computed using the algorithm of Duursma and Lee. However, in hardware and constrained environments, this algorithm is unattractive since it requires online computation of cube roots or enough storage space to precompute required results. We examine the use of normal basis arithmetic in characteristic three in an attempt to get the best of both worlds: an efficient method for computing the Tate pairing that requires no precomputation and that may also be implemented in hardware to accelerate devices such as smart-cards.
Year
DOI
Venue
2005
10.1109/TC.2005.120
IACR Cryptology ePrint Archive
Keywords
DocType
Volume
identity-based cryptography,enough storage space,pairing-based cryptography,cube root,functional advantage,tate pairing,conventional public key method,efficient method,dominant part,computational cost,normal basis arithmetic,software normal basis arithmetic,public key,smart card,concrete,indexing terms,public key cryptography,pairing based cryptography,security,hardware,elliptic curve cryptography,normal basis,acceleration
Journal
54
Issue
ISSN
Citations 
7
0018-9340
31
PageRank 
References 
Authors
1.84
19
3
Name
Order
Citations
PageRank
Robert Granger118312.81
Daniel Page2845.56
Martijn Stam3165967.36