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We present an explicit Eta pairing approach for computing the Tate pairing on general divisors of hyperelliptic curves Hd of genus 2, where Hd : y² + y = x5 + x³ + d is defined over F₂n 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.
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참고문헌 (23)
참고문헌 신청
A. J. Menezes / 1993 / Reducing elliptic curve logarithms to logarithms in a finite field / IEEE Transactions on Information Theory 39 (5) : 1639 ~ 1646
A.Weimerskirch / 2003 / Generic GF(2m) arithmetic in software and its application to ECC, Proceedings of ACISP 2003 / Lecture Notes in Computer Science 2727 : 79 ~ 92
C. K. Yap / 2000 / Fundamental Problems of Algorithmic Algebra / Oxford University Press
D. Boneh / 2001 / Short signatures from the Weil pairing, Advances in cryptology?ASIACRYPT 2001 (Gold Coast) / Lecture Notes in Computer Science 2248 : 514 ~ 532
D. Boneh / 2003 / Identity-based encryption from the Weil pairing / SIAM Journal on Computing 32 (3) : 586 ~ 615
A.Weimerskirch / 2003 / Generic GF(2m) arithmetic in software and its application to ECC, Proceedings of ACISP 2003 / Lecture Notes in Computer Science 2727 : 79 ~ 92
C. K. Yap / 2000 / Fundamental Problems of Algorithmic Algebra / Oxford University Press
D. Boneh / 2001 / Short signatures from the Weil pairing, Advances in cryptology?ASIACRYPT 2001 (Gold Coast) / Lecture Notes in Computer Science 2248 : 514 ~ 532
D. Boneh / 2003 / Identity-based encryption from the Weil pairing / SIAM Journal on Computing 32 (3) : 586 ~ 615
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