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Another approach to pairing computation in Edwards coordinates. (English) Zbl 1203.94104

Roy Chowdhury, Dipanwita (ed.) et al., Progress in cryptology – INDOCRYPT 2008. 9th international conference on cryptology in India, Kharagpur, India, December 14–17, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-89753-8/pbk). Lecture Notes in Computer Science 5365, 400-413 (2008).
Summary: The recent introduction of Edwards curves has significantly reduced the cost of addition on elliptic curves. This paper presents new explicit formulae for pairing implementation in Edwards coordinates. We prove our method gives performances similar to those of Miller’s algorithm in Jacobian coordinates and is thus of cryptographic interest when one chooses Edwards curve implementations of protocols in elliptic curve cryptography. The method is faster than the recent proposal of Das and Sarkar for computing pairings on supersingular curves using Edwards coordinates.
For the entire collection see [Zbl 1154.94005].

MSC:

94A60 Cryptography
11T71 Algebraic coding theory; cryptography (number-theoretic aspects)

Software:

EFD
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References:

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