Skew-Frobenius Maps on Hyperelliptic Curves
Summary :
Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper)elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.7 pp.1839-1843
- Publication Date
- 2008/07/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.7.1839
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Keyword
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Shunji KOZAKI, Kazuto MATSUO, Yasutomo SHIMBARA, "Skew-Frobenius Maps on Hyperelliptic Curves" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 7, pp. 1839-1843, July 2008, doi: 10.1093/ietfec/e91-a.7.1839.
Abstract: Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper)elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.7.1839/_p
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@ARTICLE{e91-a_7_1839,
author={Shunji KOZAKI, Kazuto MATSUO, Yasutomo SHIMBARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Skew-Frobenius Maps on Hyperelliptic Curves},
year={2008},
volume={E91-A},
number={7},
pages={1839-1843},
abstract={Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper)elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus.},
keywords={},
doi={10.1093/ietfec/e91-a.7.1839},
ISSN={1745-1337},
month={July},}
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TY - JOUR
TI - Skew-Frobenius Maps on Hyperelliptic Curves
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1839
EP - 1843
AU - Shunji KOZAKI
AU - Kazuto MATSUO
AU - Yasutomo SHIMBARA
PY - 2008
DO - 10.1093/ietfec/e91-a.7.1839
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2008
AB - Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper)elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus.
ER -
English
