Sep 18, 2009
An Implementation of Tate Pairing with Non-Supersingular Curves of Embedding degree 1
IEICE technical report
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- Volume
- 109
- Number
- 207
- First page
- 59
- Last page
- 64
- Language
- Japanese
- Publishing type
- Publisher
- The Institute of Electronics, Information and Communication Engineers
Recently, pairing-based cryptographic applications such as ID-based cryptography have received much attention. On the other hand, RSA cryptography has been widely used and it is defined over a certain composite order as the modulus. In detail, it generally needs to be a product of two large prime numbers. In order to apply RSA-based techniques to pairing-based cryptography, pairing friendly curve needs to have such a composite order. This paper focuses on some non-supersingular pairing friendly curves whose order r has two large prime factors and embedding degree k is equal to 1. This paper shows some experimental results on generating such a composite order curve and Tate pairing.
- Link information
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- CiNii Articles
- http://ci.nii.ac.jp/naid/110007387542
- CiNii Books
- http://ci.nii.ac.jp/ncid/AN10060811
- URL
- http://id.ndl.go.jp/bib/10391124
- ID information
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- ISSN : 0913-5685
- CiNii Articles ID : 110007387542
- CiNii Books ID : AN10060811