Results 1 to 10 of about 38,603 (168)

Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves [PDF]

Journal of Mathematical Cryptology, 2021
Loops and cycles play an important role in computing endomorphism rings of supersingular elliptic curves and related cryptosystems. For a supersingular elliptic curve E defined over 𝔽p2, if an imaginary quadratic order O can be embedded in End(E) and a ...
Xiao Guanju, Luo Lixia, Deng Yingpu
doaj   +5 more sources

Finding orientations of supersingular elliptic curves and quaternion orders [PDF]

Designs, Codes and Cryptography, 2023
An oriented supersingular elliptic curve is a curve which is enhanced with the information of an endomorphism. Computing the full endomorphism ring of a supersingular elliptic curve is a known hard problem, so one might consider how hard it is to find ...
Sarah Arpin, James Clements, Pierrick Dartois, Jonathan Komada Eriksen, Péter Kutas, Benjamin Wesolowski   +5 more
semanticscholar   +7 more sources

Implementation of Boneh - Lynn - Shacham short digital signature scheme using Weil bilinear pairing based on supersingular elliptic curves

Vietnam Journal of Science, Technology and Engineering, 2022
One option for a digital signature solution for devices with low memory and low bandwidth transmission over channels uses a short digital signature scheme based on Weil bilinear pairing aimed at short processing times, fast computation, and convenient ...
Nhu-Quynh Luc, Quang-Trung Do, Manh-Hung Le   +2 more
doaj   +2 more sources

Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies

Journal of Mathematical Cryptology, 2014
We present new candidates for quantum-resistant public-key cryptosystems based on the conjectured difficulty of finding isogenies between supersingular elliptic curves. The main technical idea in our scheme is that we transmit the images of torsion bases
De Feo Luca, Jao David, Plût Jérôme
doaj   +2 more sources

An Efficient Signature Scheme From Supersingular Elliptic Curve Isogenies

IEEE Access, 2019
Since supersingular elliptic curve isogenies are one of the several candidate sources of hardness for building post-quantum cryptographic primitives, the research of efficient signature schemes based on them is still a hot topic.
Yan Huang, Fangguo Zhang, Zhijie Liu, Huang Zhang   +3 more
doaj   +2 more sources

A New Text Encryption Scheme Suitable for Combating Sniffing Attacks in IoT Applications via Non-supersingular Elliptic Curves over Binary Extension Fields

Earthline Journal of Mathematical Sciences, 2023
Several research works propose the use of Elliptic Curve Cryptography (ECC) to provide security for the Internet of Things (IoT) and cloud computing due to its shorter key requirement of approximately 160-571 bits vs.
Zakaria Abukari, Edward Yellakuor Baagyere, Mohammed Muniru Iddrisu   +2 more
openalex   +3 more sources

FPGA Implementation of Various Elliptic Curve Pairings over Odd Characteristic Field with Non Supersingular Curves

IEICE Trans. Inf. Syst., 2016
Pairing-based cryptography has realized a lot of innovative cryptographic applications such as attribute-based cryptography and semi homomorphic encryption.
Yasuyuki Nogami, Hiroto Kagotani, Kengo Iokibe, H Miyatake, Takashi Narita   +4 more
openalex   +3 more sources

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

Research in Number Theory
Let $$E/\mathbb {Q}$$ E / Q be an elliptic curve ...
Ben Forrás, Katharina Müller
openalex   +2 more sources

Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems [PDF]

Journal of Cryptology, 2004
Eric R. Verheul
openalex   +2 more sources

A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes [PDF]

Quarterly Journal of Mathematics, 2023
Let $p\ge5$ be a prime number. Let $E/\mathbb{Q}$ be an elliptic curve with complex multiplication by an imaginary quadratic field K such that p is inert in K and that E has good reduction at p.
Antonio Lei
semanticscholar   +1 more source