Results 61 to 70 of about 306 (153)
Two topics in hyperelliptic cryptography
, 2000 hyperelliptic curves, cryptography, Weil descent In this paper we address two important topics in hyperelliptic cryptography. The first is how to construct in a verifiably random manner hyperelliptic curves for use in cryptography in generas two and ...
Nigel Smart +5 more
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A Computational Introduction to Elliptic and Hyperelliptic Curve Cryptography
, 2018 At its core, cryptography relies on problems that are simple to construct but difficult to solve unless certain information (the “key”) is known. Many of these problems come from number theory and group theory.
Wilcox, Nicholas
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Algebraic curves and cryptography
, 2005 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 ...
Menezes, Alfred, Galbraith, Steven
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Genus Two Hyperelliptic Curve Coprocessor
, 2002 . Hyperelliptic curve cryptography with genus larger than one has not been seriously considered for cryptographic purposes because many existing implementations are significantly slower than elliptic curve versions with the same level of security.
Y. Liow +3 more
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Elliptic and Hyperelliptic Curves: A Practical Security Analysis [PDF]
, 2014 Motivated by the advantages of using elliptic curves for discrete logarithm-based public-key cryptography, there is an active research area investigating the potential of using hyperelliptic curves of genus 2.
Miele, Andrea +7 more
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Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n
, 2004 We give the number and representatives of isomorphism classes of hyperelliptic curves of genus g defined over finite fields F(2g+1)n, g=1,2,3.
Choie, Youngju, Jeong, Eunkyung
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Explicit addition formulae on hyperelliptic curves of genus 2 for isogeny-based cryptography
JSIAM LettersSummary: Some isogeny-based cryptosystems use addition and doubling on the Jacobian over genus-2 sextic and non-monic hyperelliptic curves. In this study, we generalized some formulae for quintic and monic curves to sextic curves using projective coordinates and then compared them.
Kaito Sato +2 more
openaire +2 more sources
On the performance of hyperelliptic cryptosystems
, 1998 In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law of such curves and how to generate suitable curves for use in cryptography.
Smart, N P, Nigel P. Smart
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Comparative Study of Hyperelliptic Curve Cryptosystem over Prime Field and Its Survey
, 2014 Public key cryptography is the famous cryptography technique used in many corporate sectors for developing software to provide security services. Hyperelliptic Curve Cryptosystem (HECC) is one of the public key cryptographic technique, an expansion of ...
V. Vijayalakshmi +2 more
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Post-Quantum Cryptography for Wireless Sensor Network Using Key Agreement Super Singular on Hyperelliptic Curve [PDF]
The intersection of security and sustainability within wireless sensor networks (WSNs) underscores pivotal factors such as energy efficiency, resource optimization, energy waste reduction, and the sustained integrity of network infrastructure.
Novas Castellano, Nuria +3 more
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