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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 ...
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...
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 ...
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...

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