Twisted Hessian Curves
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Publication:2946454
DOI10.1007/978-3-319-22174-8_15zbMath1370.94487OpenAlexW1741621240MaRDI QIDQ2946454
Chitchanok Chuengsatiansup, David R. Kohel, Daniel J. Bernstein, Tanja Lange
Publication date: 17 September 2015
Published in: Progress in Cryptology -- LATINCRYPT 2015 (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-22174-8_15
efficiencyHessian curvesdouble-base chainsfast arithmeticcomplete addition lawselliptic-curve arithmetic
Related Items (14)
A classification of ECM-friendly families of elliptic curves using modular curves ⋮ An application of crypto cloud computing in social networks by cooperative game theory ⋮ Isogeny formulas for Jacobi intersection and twisted Hessian curves ⋮ Differential addition on binary elliptic curves ⋮ Twisted Hessian curves over the Ring F ⋮ The binary operations calculus in H ⋮ Faster isogeny computation on twisted Hessian curves ⋮ Protecting ECC against fault attacks: the ring extension method revisited ⋮ Isogenies on twisted Hessian curves ⋮ Speeding up Huff form of elliptic curves ⋮ A new cryptosystem based on a twisted Hessian curve \(H^4_{a,d}\) ⋮ Modular curves over number fields and ECM ⋮ High-degree Compression Functions on Alternative Models of Elliptic Curves and their Applications ⋮ Differential Addition on Binary Elliptic Curves
Cites Work
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- Cryptographic hardware and embedded systems -- CHES 2013. 15th international workshop, Santa Barbara, CA, USA, August 20--23, 2013. Proceedings
- Information security and privacy. 13th Australasian conference, ACISP 2008, Wollongong, Australia, July 7--9, 2008. Proceedings
- Public key cryptography -- PKC 2010. 13th international conference on practice and theory in public key cryptography, Paris, France, May 26--28, 2010. Proceedings
- Advances in cryptology - ASIACRYPT '98. International conference on the Theory and application of cryptology and information security, Beijing, China, October 18--22, 1998. Proceedings
- Applied algebra, algebraic algorithms and error-correcting codes. 15th international symposium, AAECC-15, Toulouse, France, May 12--16, 2003. Proceedings
- Sequences of numbers generated by addition in formal groups and new primality and factorization tests
- Complete systems of two addition laws for elliptic curves
- Advances in cryptology -- ASIACRYPT 2007. 13th international conference on the theory and application of cryptology and information security, Kuching, Malaysia, December 2-6, 2007. Proceedings
- Faster computation of the Tate pairing
- A complete set of addition laws for incomplete Edwards curves
- Addition law structure of elliptic curves
- Topics in cryptology -- CT-RSA 2014. The cryptographer's track at the RSA conference 2014, San Francisco, CA, USA, February 25--28, 2014. Proceedings
- Advances in cryptology -- EUROCRYPT 2014. 33rd annual international conference on the theory and applications of cryptographic techniques, Copenhagen, Denmark, May 11--15, 2014. Proceedings
- Progress in cryptology -- INDOCRYPT 2007. 8th international conference on cryptology in India, Chennai, India, December 9--13, 2007. Proceedings
- The geometry of efficient arithmetic on elliptic curves
- Lambda Coordinates for Binary Elliptic Curves
- Efficient Arithmetic on Elliptic Curves over Fields of Characteristic Three
- A Tree-Based Approach for Computing Double-Base Chains
- Efficient Arithmetic on Hessian Curves
- Speeding the Pollard and Elliptic Curve Methods of Factorization
- Faster Addition and Doubling on Elliptic Curves
- Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and Their Implementation on GLV-GLS Curves
- Faster Compact Diffie–Hellman: Endomorphisms on the x-line
- A normal form for elliptic curves
- New Formulae for Efficient Elliptic Curve Arithmetic
- Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication
- Public Key Cryptography - PKC 2006
- Public Key Cryptography - PKC 2006
- Cryptographic hardware and embedded systems - CHES 2001. 3rd international workshop, Paris, France, May 14--16, 2001. Proceedings
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