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Tate pairing computation on the divisors of hyperelliptic curves of genus 2

Title
Tate pairing computation on the divisors of hyperelliptic curves of genus 2
Authors
Lee E.Lee Y.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진scopus
Issue Date
2008
Journal Title
Journal of the Korean Mathematical Society
ISSN
0304-9914JCR Link
Citation
vol. 45, no. 4, pp. 1057 - 1073
Indexed
SCIE; SCOPUS; KCI WOS scopus
Abstract
We present an explicit Eta pairing approach for computing the Täte pairing on general divisors of hyperelliptic curves H d of genus 2, where H d : y 2 + y = x 5 + x 3 + d is defined over F 2n with d = 0 or 1. We use the resultant for computing the Eta pairing on general divisors. Our method is very general in the sense that it can be used for general divisors, not only for degenerate divisors. In the pairing-based cryptography, the efficient pairing implementation on general divisors is significantly important because the decryption process definitely requires computing a pairing of general divisors. ©2008 The Korean Mathematical Society.
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자연과학대학 > 수학전공 > Journal papers
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