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A new elliptic curve point compression method based on Fp-rationality of some generalized Kummer surfaces
elliptic cryptography point compression Barreto-Naehrig curves
2019/9/19
In the article we propose a new compression method (to 2log2(p)+32log2(p)+3 bits) for the Fp2Fp2-points of an elliptic curve Eb:y2=x3+bEb:y2=x3+b (for b∈F∗p2b∈Fp2∗) of jj-invariant ...
Point compression for the trace zero subgroup over a small degree extension field
trace zero variety efficient representation point compression
2016/1/25
Using Semaev’s summation polynomials, we derive a new equation for the Fqrational
points of the trace zero variety of an elliptic curve defined over Fq. Using this
equation, we produce an optimal-si...
Decaf: Eliminating cofactors through point compression
Elliptic curves Edwards curves Montgomery curves
2015/12/29
We propose a new unified point compression format for Edwards,
Twisted Edwards and Montgomery curves over large-characteristic
fields, which effectively divides the curve’s cofactor by 4 at very lit...
Elliptic curves over finite fields have applications in public key cryptography. A Koblitz curve is
an elliptic curve E over F2; the group E(F2n) has convenient features for efficient implementation ...
Point Compression on Jacobians of Hyperelliptic Curves over Fq.
Point Compression Jacobians Hyperelliptic Curves Fq.
2009/3/20
Hyperelliptic curve cryptography recently received a lot of attention,
especially for constrained environments. Since there space is critical, compression
techniques are interesting. In this note we...