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Compression for trace zero points on twisted Edwards curves
elliptic curve cryptography trace-zero subgroup Edwards curves
2017/9/18
We propose two optimal representations for the elements of trace zero subgroups of twisted Edwards curves. For both representations, we provide efficient compression and decompression algorithms. The ...
Faster point scalar multiplication on NIST elliptic curves over GF(p) using (twisted) Edwards curves over GF(p?
Edwards curves Twisted Edwards curves Finite 謊lds
2015/12/22
In this paper we present a new method for fast scalar multiplication on elliptic
curves over GF(p) in FPGA using Edwards and twisted Edwards curves
over GF(p
3
). The presented solution works for ...
R. Feng, and H. Wu recently established a certain mean-value formula
for the x-coordinates of the n-division points on an elliptic curve given in
Weierstrass form (A mean value formula for elliptic ...
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem
Hardware Analysis Twisted Edwards Curves Elliptic Curve Cryptosystem
2009/6/11
This paper presents implementation results of a reconfig-
urable elliptic curve processor defined over prime fields GF(p). We use
this processor to compare a new algorithm for point addition and poi...
Twisted Edwards Curves Revisited
Efficient elliptic curve arithmetic unified addition side channel attack
2009/6/10
This paper introduces fast algorithms for performing group operations on twisted
Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography
(ECC) forward in a wide range of appli...
Twisted Edwards Curves
Elliptic curves Edwards curves twisted Edwards curves Montgomery curves
2009/6/2
This paper introduces “twisted Edwards curves,” a generalization
of the recently introduced Edwards curves; shows that twisted
Edwards curves include more curves over finite fields, and in particula...