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» Coordinate Blinding over Large Prime Fields
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WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
13 years 11 months ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
Naomi Benger, Michael Scott
CHES
2009
Springer
230views Cryptology» more  CHES 2009»
14 years 6 months ago
Designing an ASIP for Cryptographic Pairings over Barreto-Naehrig Curves
Abstract. This paper presents a design-space exploration of an applicationspecific instruction-set processor (ASIP) for the computation of various cryptographic pairings over Barre...
David Kammler, Diandian Zhang, Dominik Auras, Gerd...
ITCC
2005
IEEE
13 years 12 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
ECCC
2006
120views more  ECCC 2006»
13 years 6 months ago
New Locally Decodable Codes and Private Information Retrieval Schemes
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
PAIRING
2009
Springer
124views Cryptology» more  PAIRING 2009»
14 years 27 days ago
Fast Hashing to G2 on Pairing-Friendly Curves
When using pairing-friendly ordinary elliptic curves over prime fields to implement identity-based protocols, there is often a need to hash identities to points on one or both of ...
Michael Scott, Naomi Benger, Manuel Charlemagne, L...