Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five
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Publication:957691
DOI10.1007/BF03167539zbMath1222.14044OpenAlexW1876071989MaRDI QIDQ957691
Yutaka Sueyoshi, Aichi Kudo, Ryuichi Harasawa
Publication date: 1 December 2008
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167539
Finite ground fields in algebraic geometry (14G15) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (2)
Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five ⋮ Efficient \(p\)th root computations in finite fields of characteristic \(p\)
Cites Work
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- Algebraic function fields and codes
- Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five
- A fast algorithm for computing multiplicative inverses in \(\text{GF}(2^ m)\) using normal bases
- Hyperelliptic cryptosystems
- The Weil pairing, and its efficient calculation
- On the structure of the divisor class group of a class of curves over finite fields
- The Eta Pairing Revisited
- Computing in the Jacobian of a Hyperelliptic Curve
- A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
- Identity-Based Encryption from the Weil Pairing
- Easy Decision Diffie-Hellman Groups
- Ate Pairing on Hyperelliptic Curves
- Algorithmic Number Theory
- Information Security and Cryptology - ICISC 2003
- Algorithmic Number Theory
- Advances in Cryptology - ASIACRYPT 2003
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