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Quantum Cryptoanalysis of Elliptic Curve Systems
(Computación y Sistemas, 2009)
A family of implementation-friendly BN elliptic curves
(ELSEVIER SCIENCE INC, 2011)
For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it provides with relatively small keys and to ...
Efficient And Secure Elliptic Curve Cryptography For 8-bit Avr Microcontrollers
(SPRINGER INT PUBLISHING AGCHAM, 2015)
Same value analysis on Edwards curves
(2020)
Recently, several research groups in cryptography have presented new elliptic curve models based on Edwards curves. These new curves were selected for their good performance and security perspectives. Cryptosystems based ...
Field inversion and point halving revisited
(Ieee Computer SocLos AlamitosEUA, 2004)
Curvas elípticas e criptografiaElliptic curves and cryptography
(Universidade Federal de UberlândiaBrasilMatemática, 2020)
An algebraic approach to elliptic and hyperelliptic curve cryptography
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2019)
During the past decades, cryptographic methods have radically improved as well as the mathematical tools employed in them. In this work we introduce elliptic curves as building blocks of cryptosystems and review their ...