Recent software implementations of binary elliptic Curve cryptography
[Coauthored By Francisco Rodríguez-Henríquez]
0. Jonathan Taverne, Armando Faz-Hernández, Diego F.
Aranha, Francisco Rodríguez-Henríquez, Darrel Hankerson,
Julio López, "
"Software
Implementation of Binary Elliptic Curves: Impact of the Carry-Less
Multiplier on Scalar Multiplication"".
CHES 2011: 108-123,
Lecture Notes in Computer Science 6917 Springer 2011.
Preprint available here.
Supporting presentation available here
1. Jonathan Taverne, Armando Faz-Hernández, Diego F. Aranha,
Francisco Rodríguez-Henríquez, Darrel Hankerson, Julio
López, "
"Speeding scalar
multiplication over binary elliptic curves using the new carry-less
multiplication instruction"".
J. Cryptographic Engineering 1(3):
187-199 Springer (2011).
2. Diego F. Aranha, Armando Faz-Hernández, Julio López and Francisco Rodríguez-Henríquez:
"Faster Implementation of Scalar Multiplication on Koblitz Curves".
LATINCRYPT 2012: Vol. 7533 in Lecture Notes in Computer Science, pp 177-193. Preprint available
here.
Supporting presentation available here
3. Thomaz Oliveira, Julio López, Diego F. Aranha and Francisco Rodríguez-Henríquez:
Lambda coordinates for binary elliptic curves.
CHES 2013: Vol. 8086 in Lecture Notes in Computer Science, pp 311-330
[Best paper award].
Supporting presentation available here
4. Thomaz Oliveira, Julio López, Diego F. Aranha and Francisco Rodríguez-Henríquez:
"Two is the fastest prime: lambda coordinates for binary elliptic curves".
J. Cryptographic Engineering 4(1): 3-17 (2014). Preprint available
here.
Supporting presentation available here
5. Thomaz Oliveira, Diego F. Aranha, Julio López and Francisco Rodríguez-Henríquez:
"Fast point multiplication algorithms for binary elliptic curves with and without precomputation",
In Antoine Joux, Amr M. Youssef (editors):
Selected Areas in Cryptography - SAC 2014. Lecture Notes in Computer Science
8781, Springer 2014
Preprint available here.
Supporting presentation available here
6. Thomaz Oliveira, Julio López and Francisco Rodríguez-Henríquez:
"Software implementation of Koblitz curves over quadratic fields",
accepted in CHES 2016 ( CHES 2016).
Preprint available here.
For a detailed description of works (3) to (6), see the PhD thesis
"Cryptography in Small-Characteristic Finite Fields",
by Dr. Thomaz Eduardo de Figueiredo Oliveira.