Peter Birkner
Eindhoven University of Technology
17 Papers
399 Citations
Peter Birkner is an academic researcher from Eindhoven University of Technology. The author has contributed to research in topics: Edwards curve & Hyperelliptic curve. The author has an hindex of 10, co-authored 17 publications. Previous affiliations of Peter Birkner include Technical University of Denmark & Versailles Saint-Quentin-en-Yvelines University.
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Papers
Twisted Edwards curves
Daniel J. Bernstein,Peter Birkner,Marc Joye,Tanja Lange,Christiane Peters +4 more
- 11 Jun 2008
TL;DR: This paper introduces "twisted Edwards curves," a generalization of the recently introduced Edwards curves, and shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form.
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Twisted Edwards curves
TL;DR: In this article, the authors introduce twisted Edwards curves, a generalization of the recently introduced Edwards curve, which includes more curves over finite fields, and in particular every elliptic curve in Montgomery form.
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Breaking ECC2K-130
Daniel V. Bailey,Lejla Batina,Daniel J. Bernstein,Peter Birkner,Joppe W. Bos,H-C Chen,Chen-Mou Cheng,van G Damme,G. De Meulenaer,LJ Dominguez Perez,Junfeng Fan,Tim Güneysu,Frank K. Gurkaynak,Tanja Lange,Nele Mentens,Ruben Niederhagen,Christof Paar,Francesco Regazzoni,Peter Schwabe,Leif Uhsadel,A Van Herrewege,Bo-Yin Yang +21 more
TL;DR: This paper describes breaking the ECC2K-130 challenge using a parallelized version of Pollard's rho method, a major computation bringing together the contributions of several clusters of conventional computers, PlayStation 3 clusters, computers with powerful graphics cards and FPGAs.
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ECM using Edwards curves
TL;DR: This paper introduces EECM-MPFQ, a fast implementation of the elliptic-curve method of factoring integers, which uses fewer modular multiplications than the well-known GMP-ECM software, takes less time, and finds more primes than GMP -ECM.
ECM using Edwards curves
TL;DR: EECM-MPFQ as mentioned in this paper is a fast implementation of the elliptic-curve method of factoring integers that uses fewer modular multiplications than the well-known GMP-ECM software and finds more primes than GMP.