Post quantum ecc on fpga platform
DB Roy, D Mukhopadhyay - Cryptology ePrint Archive, 2019 - eprint.iacr.org
Post-quantum cryptography has gathered significant attention in recent times due to the
NIST call for standardization of quantum resistant public key algorithms. In that context …
NIST call for standardization of quantum resistant public key algorithms. In that context …
Computing the ℓ-power torsion of an elliptic curve over a finite field
The algorithm we develop outputs the order and the structure, including generators, of the
$\ell $-Sylow subgroup of the group of rational points of an elliptic curve defined over a finite …
$\ell $-Sylow subgroup of the group of rational points of an elliptic curve defined over a finite …
Efficient loop abort fault attacks on Supersingular Isogeny based Key Exchange (SIKE)
Post-quantum secure public key algorithm Super-singular Isogeny based Key Exchange
(SIKE) has emerged as a viable candidate for post-quantum secure key encapsulation …
(SIKE) has emerged as a viable candidate for post-quantum secure key encapsulation …
[PDF][PDF] Algorithms and cryptographic protocols using elliptic curves
JM Miret, R Moreno Chiral, J Pujolàs Boix… - 2007 - repositori.udl.cat
The relevance of elliptic curve cryptography has grown in recent years, and today represents
a cornerstone in many industrial standards. Although elliptic curve variants of classical …
a cornerstone in many industrial standards. Although elliptic curve variants of classical …
A new twofold Cornacchia-type algorithm and its applications
B Wang, Y Ouyang, H Hu, S Li - Cryptology ePrint Archive, 2021 - eprint.iacr.org
We focus on exploring more potential of Longa and Sica's algorithm (ASIACRYPT 2012),
which is an elaborate iterated Cornacchia algorithm that can compute short bases for 4-GLV …
which is an elaborate iterated Cornacchia algorithm that can compute short bases for 4-GLV …
A computational proof of the existence of the Dual Isogeny
M Karameris - arXiv preprint arXiv:2104.09213, 2021 - arxiv.org
arXiv:2104.09213v1 [math.NT] 19 Apr 2021 Page 1 arXiv:2104.09213v1 [math.NT] 19 Apr
2021 A computational proof of the existence of the Dual Isogeny Markos Karameris1[0000−0001−7009−5285] …
2021 A computational proof of the existence of the Dual Isogeny Markos Karameris1[0000−0001−7009−5285] …
On a conjecture of Gross and Zagier
D Byeon, T Kim, D Yhee - arXiv preprint arXiv:1501.06296, 2015 - arxiv.org
Gross and Zagier conjectured that if the analytic rank of a rational elliptic curve is 1, then the
order of the rational torsion subgroup of the elliptic curve divides the product of Tamagawa …
order of the rational torsion subgroup of the elliptic curve divides the product of Tamagawa …
Isogeny volcanoes of elliptic curves and Sylow subgroups
M Fouquet, JM Miret, J Valera - … on Cryptology and Information Security in …, 2014 - Springer
Given an ordinary elliptic curve over a finite field located in the floor of its volcano of ℓ-
isogenies, we present an efficient procedure to take an ascending path from the floor to the …
isogenies, we present an efficient procedure to take an ascending path from the floor to the …
On Computing the Tate Shafarevich group order and type of some rational elliptic curves of conductor less than a million.
GE Zelaya Eufemia - 2019 - digital.lib.washington.edu
In this dissertation, I will present the tabulation of the Tate Shafarevich group order and type
of around 4.5 million rational elliptic curves of conductor less than a million. These curves …
of around 4.5 million rational elliptic curves of conductor less than a million. These curves …
[PDF][PDF] On Computing the Tate-Shafarevich Group Order and Type of Some Rational Elliptic Curves of Conductor Less Than a Million
GEZ Eufemia, W Stein, R Greenberg, B Viray - 2019 - digital.lib.washington.edu
c Copyright 2019 Gerardo E. Zelaya Eufemia Page 1 c Copyright 2019 Gerardo E. Zelaya
Eufemia Page 2 On Computing the Tate-Shafarevich group order and type of some rational …
Eufemia Page 2 On Computing the Tate-Shafarevich group order and type of some rational …