New Digital Image Encryption Scheme based on Elliptic Curve Isogenies [PDF]
, 2016 Due to the complexity of modern technological exchanges, the need of the security of the image remains till now a challenging problems. In this paper, we present a new encryption scheme based on a non-classical aspect of the elliptic curve cryptography ...
Bouaziz, S. (Samia) +2 more
core
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.
core +4 more sources
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
core +1 more source
Modular polynomials via isogeny volcanoes
, 2012 We present a new algorithm to compute the classical modular polynomial Phi_n in the rings Z[X,Y] and (Z/mZ)[X,Y], for a prime n and any positive integer m. Our approach uses the graph of n-isogenies to efficiently compute Phi_n mod p for many primes p of
Broker, Reinier +2 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
doaj +1 more source
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
Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians [PDF]
, 2013 The first step in elliptic curve scalar multiplication algorithms based on scalar decompositions using efficient endomorphisms-including Gallant-Lambert-Vanstone (GLV) and Galbraith-Lin-Scott (GLS) multiplication, as well as higher-dimensional and higher-
Smith, Benjamin
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Towards Optimally Small Smoothness Bounds for Cryptographic-Sized Twin Smooth Integers and its Isogeny-based Applications [PDF]
, 2023 Bruno Sterner
openalex
Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
europepmc +1 more source