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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.30 No.1
- 발행연도
- 2020.1
- 수록면
- 135 - 143 (9page)
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This paper presents Frobenius endomorphisms on generalized Hessian curves and twisted Hessian curves. It gives an e cient computable homomorphism to compute the point multiplication on Hessian curve over a nite eld. As an application, we describe the GLV method combied with the Frobenius endomorphism over the curve to speed up the scalar multiplication.
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참고문헌 (20)
참고문헌 신청
R. Avanzi / 2006 / Handbook of Elliptic and Hyperelliptic Cryptography / Chapman and Hall/CRC
D. Bernstein / 2015 / Twisted Hessian Curves / Proceedings of the 4th International Conference on Progress in Cryptology, LATINCRYPT 2015 9230:269~294
D. V. Chudnovsky / 1986 / Sequences of numbers generated by addition in formal groups and new primality and factorizaation tests / Advances in Applied Mathematics 7(4):385~434
H. M. Edwards / 2007 / A normal form for elliptic curves / Bulletin of the American Mathematical Society 44(3):393~422
R. R. Farashahi / 2010 / Efficient arithmetic on Hessian curves, in: Public Key Cryptography-PKC 2010 / 13th International Conference on Practice and Theory in Public Key Cryptography :243~260
D. Bernstein / 2015 / Twisted Hessian Curves / Proceedings of the 4th International Conference on Progress in Cryptology, LATINCRYPT 2015 9230:269~294
D. V. Chudnovsky / 1986 / Sequences of numbers generated by addition in formal groups and new primality and factorizaation tests / Advances in Applied Mathematics 7(4):385~434
H. M. Edwards / 2007 / A normal form for elliptic curves / Bulletin of the American Mathematical Society 44(3):393~422
R. R. Farashahi / 2010 / Efficient arithmetic on Hessian curves, in: Public Key Cryptography-PKC 2010 / 13th International Conference on Practice and Theory in Public Key Cryptography :243~260
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