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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.1
- 발행연도
- 2019.1
- 수록면
- 7 - 14 (8page)
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In this paper, we consider the scalar multiplication on Ja- cobi curves over a nite eld using the Frobenius expansion. Applying the Frobenius endomorphism on Jacobi curves, we construct a Frobe- nius map de ned on the quadratic twist of Jacobi curves. To speed up the scalar multiplication on Jacobi curves, we use the GLV method combined with the Frobenius endomorphism over the curves.
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참고문헌 (13)
참고문헌 신청
O. Billet / 2003 / The jocobi model of an elliptic curve and side-channel analysis, AAEECC 2003 / LNCS 2643:34~42
D. V. Chudnovsky / 1986 / Sequences of numbers gnerated by addi-tion in formal groups and new primality and factorization tests / Advances in Applied Mathematics 7:385~434
H. M. Edwards / 2007 / A normal form for elliptic curves / Bull. Am. Math. Soc., New Ser 44(3):393~422
R. Feng / 2013 / Twisted Jacobi Intersections Curves / Theoretical Com-puter Science 494(8):24~35
S. D. Galbraith / 2011 / Endomorphisms for faster elliptic curve cryptography on a large class of curves / J. Cryptology 24(3):446~469
D. V. Chudnovsky / 1986 / Sequences of numbers gnerated by addi-tion in formal groups and new primality and factorization tests / Advances in Applied Mathematics 7:385~434
H. M. Edwards / 2007 / A normal form for elliptic curves / Bull. Am. Math. Soc., New Ser 44(3):393~422
R. Feng / 2013 / Twisted Jacobi Intersections Curves / Theoretical Com-puter Science 494(8):24~35
S. D. Galbraith / 2011 / Endomorphisms for faster elliptic curve cryptography on a large class of curves / J. Cryptology 24(3):446~469
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