Results 11 to 20 of about 890,810 (300)
Nonlinearities in Elliptic Curve Authentication [PDF]
Entropy, 2014 In order to construct the border solutions for nonsupersingular elliptic curve equations, some common used models need to be adapted from linear treated cases for use in particular nonlinear cases.
Ramzi Alsaedi +2 more
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Hardware Accelerators for Elliptic Curve Cryptography [PDF]
Advances in Radio Science, 2008 In this paper we explore different hardware accelerators for cryptography based on elliptic curves. Furthermore, we present a hierarchical multiprocessor system-on-chip (MPSoC) platform that can be used for fast integration and evaluation of novel ...
C. Puttmann +3 more
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Safe curves for elliptic-curve cryptography [PDF]
This paper surveys interactions between choices of elliptic curves and the security of elliptic-curve cryptography. Attacks considered include not just discrete-logarithm computations but also attacks exploiting common implementation pitfalls.
Bernstein, Daniel J., Lange, Tanja
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Multi-Threading Elliptic Curve Cryptosystems. [PDF]
, 2007 Elliptic Curve Cryptosystems (ECC) is being widely used in cryptographic systems due to its unique security features. In many cases, ECC had also been crafted onto specialized processor for performance reason.
Samsudin, Azman, Kanniah, Uma S.
core +2 more sources
Regulators of Elliptic Curves [PDF]
International Mathematics Research Notices, 2018 Abstract We study the regulator of the Mordell–Weil group of elliptic curves over number fields, functions fields of characteristic 0 or function fields of characteristic $p>0$. We prove a new Northcott property for the regulator of elliptic curves of rank at least 4 defined over a number field.
Autissier, Pascal +2 more
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Twists of Elliptic Curves [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set $H^1\big(\operatorname{G}_{\overline{K}/K}, \operatorname{Aut}_ ...
Kronberg, M., Soomro, M.A., Top, J.
openaire +3 more sources
Elliptic curve cryptography [PDF]
Ubiquity, 2008 This paper describes the Elliptic Curve Cryptography algorithm and its suitability for smart cards.
Vivek Kapoor +2 more
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Electronics Letters, 2022 Fault attacks have been proved for efficiently breaking hardware‐based elliptic curve cryptosystems. One way for fighting against fault attacks is to design the core multiplier circuit of elliptic curve cryptosystem with concurrent error detection ...
Che Wun Chiou +6 more
doaj +1 more source
Twisted Edwards Elliptic Curves for Zero-Knowledge Circuits
Mathematics, 2021 Circuit-based zero-knowledge proofs have arose as a solution to the implementation of privacy in blockchain applications, and to current scalability problems that blockchains suffer from.
Marta Bellés-Muñoz +4 more
doaj +1 more source
Hyper-and-elliptic-curve cryptography [PDF]
, 2014 This paper introduces "hyper-and-elliptic-curve cryptography", in which a single high-security group supports fast genus-2-hyperelliptic-curve formulas for variable-base-point single-scalar multiplication (e.g., Diffie--Hellman shared-secret computation)
Lange, T., Bernstein, D.J.
core +4 more sources