Results 101 to 110 of about 2,168 (195)
Cryptography: Mathematical Advancements on Cyber Security [PDF]
, 2019 The origin of cryptography, the study of encoding and decoding messages, dates back to ancient times around 1900 BC. The ancient Egyptians enlisted the use of basic encryption techniques to conceal personal information.
Bower, Kristin
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Discrete Logarithms in Generalized Jacobians [PDF]
, 2006 D\'ech\`ene has proposed generalized Jacobians as a source of groups for public-key cryptosystems based on the hardness of the Discrete Logarithm Problem (DLP).
Galbraith, S. D., Smith, B. A.
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, 2011 A starting point of this paper is a classification of quadratic polynomial transformations of the monodromy manifold for the 2x2 isomonodromic Fuchsian systems associated to the Painleve VI equation.
Bolibruch +26 more
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Arithmetic Using Compression on Elliptic Curves in Huff’s Form and Its Applications [PDF]
International Journal of Electronics and Telecommunications, 2021 Robert Dryło +2 more
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Distortion maps for genus two curves [PDF]
, 2005 Distortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated since the full torsion subgroup has rank 2g.
Galbraith, Steven D. +3 more
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Towards Optimally Small Smoothness Bounds for Cryptographic-Sized Twin Smooth Integers and its Isogeny-based Applications [PDF]
, 2023 Bruno Sterner
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A Programmable Crypto-Processor for National Institute of Standards and Technology Post-Quantum Cryptography Standardization Based on the RISC-V Architecture. [PDF]
Sensors (Basel), 2023 Lee J, Kim W, Kim JH.
europepmc +1 more source
Improved Low-qubit Hidden Shift Algorithms [PDF]
, 2019 Hidden shift problems are relevant to assess the quantum security of various cryptographic constructs. Multiple quantum subexponential time algorithms have been proposed.
Bonnetain, Xavier
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IPCC7: Post-Quantum Encryption Scheme Based on a Perfect Dominating Set in 3-Regular Graph
IEEE AccessPost-quantum cryptography (PQC) has been actively explored to meet the requirements arising with the rapid development of quantum computers. The National Institute of Standards and Technology (NIST) conducted a competition to establish the next ...
Jieun Ryu +4 more
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Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
europepmc +1 more source