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Abstract
This paper proposes an algorithm for generating prime order elliptic curves over extension field whose extension degree is a power of 2. The proposed algorithm is based on the fact that the order of the twisted elliptic curve is able to be a prime number when the extension degree for the twist operation is a power of 2. When the definition field is F(2(40)−87)(4) , the proposed algorithm can generate a prime order elliptic curve within 5 seconds on PentiumIII (800MHz) with C language.
Journal
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- Memoirs of the Faculty of Engineering, Okayama University
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Memoirs of the Faculty of Engineering, Okayama University 39 (1), 71-81, 2005-01
Faculty of Engineering, Okayama University
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Details 詳細情報について
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- CRID
- 1390853649525361920
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- NII Article ID
- 120002308036
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- NII Book ID
- AA10699856
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- ISSN
- 04750071
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- DOI
- 10.18926/14156
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- Text Lang
- en
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- Data Source
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- JaLC
- IRDB
- CiNii Articles