Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an abelian group...

In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form y 2 + h ( x ) y = f ( x ) {\displaystyle...

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC...

the Centre for Applied Cryptographic Research at the University of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator...

A hyperelliptic curve is a particular kind of algebraic curve. There exist hyperelliptic curves of every genus g ≥ 1 {\displaystyle g\geq 1} . If the...

professor, creator of elliptic curve cryptography and hyperelliptic curve cryptography Doug Stinson, professor, author of Cryptography: Theory and Practice Ian...

there are two types of hyperelliptic curves, a class of algebraic curves: real hyperelliptic curves and imaginary hyperelliptic curves which differ by the...

Great-circle distance Harmonograph Hedgehog (curve) [1] Hilbert's sixteenth problem Hyperelliptic curve cryptography Inflection point Inscribed square problem...

(2006). Handbook of Elliptic and Hyperelliptic Curve Cryptography. Boca Raton: Chapman & Hall/CRC. Top, Jaap, Elliptic Curve Primality Proving, http://www...

authors of The Handbook of Elliptic and Hyperelliptic Curve Cryptography, published in 2005. NaCl, a cryptography software library developed by Lange and...

Kim; Vercauteren, Frederik (2005), Handbook of Elliptic and Hyperelliptic Curve Cryptography, Discrete Mathematics and Its Applications, CRC Press, p. 215...

Hybrid cryptosystem • Hyperelliptic curve cryptography • Hyper-encryption Ian Goldberg • IBM 4758 • ICE (cipher) • ID-based cryptography • IDEA NXT • Identification...

ISBN 0-387-98727-4. Cohen, Henri (2006). Handbook of Elliptic and Hyperelliptic Curve Cryptography. Discrete Mathematics and Its Applications. Chapman & Hall/CRC...

finite fields is widely used in elliptic curve cryptography. Applications of Edwards curves to cryptography were developed by Daniel J. Bernstein and...

using hyperelliptic curves to factor integers. Cosset shows in his article (of 2010) that one can build a hyperelliptic curve with genus two (so a curve y...

elliptic curves and hyperelliptic curves, that have applications to elliptic curve cryptography, hyperelliptic curve cryptography, elliptic curve primality...

The curve set is named after mathematician Harold M. Edwards. Elliptic curves are important in public key cryptography and twisted Edwards curves are...

elliptic curve instead of as an integer modulo n. Variants using hyperelliptic curves have also been proposed. The supersingular isogeny key exchange is...

examples of such curves is hyperelliptic curves in characteristic 2, whose Jacobian varieties have been suggested for use in cryptography. It is common to...

Cohen, H.; Frey, G., eds. (2006). Handbook of Elliptic and Hyperelliptic Curve Cryptography. Discrete Mathematics and Its Applications. Chapman & Hall/CRC...

his contributions to elliptic-curve cryptography. Elliptic curves Fermat's Last Theorem Hyperelliptic curve cryptography Tate pairing Hellegouarch, Yves...

interests include Pairings Based Cryptosystems, Elliptic Curve and Hyperelliptic Curve Cryptography, Provable Security and Design and Analysis of New Public...

assumptions, see http://hyperelliptic.org/EFD/g1p/index.html In some applications of elliptic curve cryptography and the elliptic curve method of factorization...

curve was suggested for application in elliptic curve cryptography, because arithmetic in this curve representation is faster and needs less memory than...

ISBN 978-0-8176-4572-4. Schindler, Bernhard (1993). "Period Matrices of hyperelliptic curves". Manuscripta Mathematica. 78 (4): 369–380. doi:10.1007/BF02599319...

Koblitz – mathematician; creator of hyperelliptic curve cryptography; independent co-creator of elliptic curve cryptography Richard E. Ladner – computer scientist;...

curve is a representation of an elliptic curve different from the usual one defined by the Weierstrass equation. Sometimes it is used in cryptography...

ISBN 978-3-540-60176-0. Cohen, H., Frey, G. (editors): Handbook of elliptic and hyperelliptic curve cryptography. Discrete Math. Appl., Chapman & Hall/CRC (2006)...

"Varieties over special fields", Handbook of elliptic and hyperelliptic curve cryptography, Discrete Math. Appl. (Boca Raton), Chapman & Hall/CRC, Boca...

Applications of twists include cryptography, the solution of Diophantine equations, and when generalized to hyperelliptic curves, the study of the Sato–Tate...