Results 91 to 100 of about 306 (153)
ALGEBRAIC CURVES AND CRYPTOGRAPHY
, 2008 . Algebraic curves over finite fields are being extensively used in the design of public-key cryptographic schemes. This paper surveys some topics in algebraic curve cryptography, with an emphasis on recent developments in algorithms for the elliptic and
Alfred Menezes, Steven Galbraith
core
Fast Constant-Time Modular Inversion over Fp Resistant to Simple Power Analysis Attacks for IoT Applications. [PDF]
Sensors (Basel), 2022 Sghaier A +5 more
europepmc +1 more source
Efficient Encodings to Hyperelliptic Curves over Finite Fields [PDF]
, 2019 Many cryptosystems are based on the difficulty of the discrete logarithm problem in finitegroups. In this case elliptic and hyperelliptic cryptosystems are more noticed because they providegood security with smaller size keys.
Kashani, Amirmehdi Yazdani +1 more
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Regev's attack on hyperelliptic cryptosystems
Hyperelliptic curve cryptography (HECC) is a candidate to standardization which is a competitive alternative to elliptic curve cryptography (ECC). We extend Regev's algorithm to this setting.
Barbulescu, Razvan, Bisson, Gaetan
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Recent advances of bat-inspired algorithm, its versions and applications. [PDF]
Neural Comput Appl, 2022 Alyasseri ZAA +7 more
europepmc +1 more source
Applications of theta functions for hyperelliptic curve cryptography.
, 2011 Depuis le milieu des années 1980, les variétés abéliennes ont été abondamment utilisées en cryptographie à clé publique: le problème du logarithme discret et les protocoles qui s'appuient sur celles-ci permettent le chiffrement asymétrique, la signature, l'authentification. Dans cette perspective, les jacobiennes de courbes hyperelliptiques constituent
openaire +1 more source
Hardware arithmetic units and cryptoprocessors for hyperelliptic curve cryptography
, 2018 De nombreux systèmes numériques nécessitent des primitives de cryptographie asymétrique de plus en plus performantes mais aussi robustes aux attaques et peu coûteuses pour les applications embarquées. Dans cette optique, la cryptographie sur courbe hyperelliptique (HECC) a été proposée comme une alternative intéressante aux techniques actuelles du fait
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Jacobian versus Infrastructure in Real Hyperelliptic Curves
, 2016 Hyperelliptic curves of low genus are good candidates for curve-based cryptography. Hyperelliptic curves comes in two models: imaginary and real. The existence of two points at infinity in real models makes them more complicated than their imaginary ...
Rezai Rad, Monireh
core
Generating genus two hyperelliptic curves over large characteristic finite fields [PDF]
, 2008 In hyperelliptic curve cryptography, finding a suitable hyperelliptic curve is an important fundamental problem. One of necessary conditions is that the order of its Jacobian is a product of a large prime number and a small number.
Takakazu Satoh
core
Hyperelliptic curves and their applications to cryptography.
, 2002 Cryptosystems based on hyperelliptic curves were first presented by N. Koblitz, in 1989 (c.f. [11]). In 1996, a first attempt was made to give an elementary introduction to hyperelliptic curves (c.f. [3]).
Nali, Deholo.
core