A Survey on Algebraic Curve Cryptosystems
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- Matsuo Kazuto
- Chuo University
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- Arita Seigo
- NEC
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- Chao Jinhui
- Chuo University
Bibliographic Information
- Other Title
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- 代数曲線暗号
- ダイスウ キョクセン アンゴウ
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Abstract
This paper is a survey on the state-of-the-art of cryptosystems based on the discrete logarithm over algebraic curves on finite fields. The issue on security of these systems against various attacks are firstly considered. Then fast addition algorithms and efficient point counting algorithms for Jacobian varieties of algebraic curves are discussed. These algorithms, although are necessary for construction of algebraic curve cryptosystems, had not been available until very recently. This paper also surveys the known results and the recent advances of related number theoretic algorithms and new developments in construction of algebraic curve cryptosystems.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 13 (2), 231-243, 2003
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390001205767579136
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- NII Article ID
- 110001878220
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 6628806
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed