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.



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