Results 101 to 110 of about 306 (153)

Isomorphism Classes of Hyperelliptic Curves of Genus 2 over $\mathbb{F}_{2^n}$

open access: yes, 2003
We give the exact number and representatives of the isomorphism, which preserves infinity, classes of hyperelliptic curves of genus $2$ over finite fields with characteristic $2 $ in most cases.
Y. Choie, E. Jeong
core  

Regev\u27s attack on hyperelliptic cryptosystems

open access: yes
Hyperelliptic curve cryptography (HECC) is a candidate to standardization which is a competitive alternative to elliptic curve cryptography (ECC). We extend Regev\u27s algorithm to this setting.
Razvan Barbulescu, Gaetan Bisson
core  

Report on Pairing-based Cryptography. [PDF]

open access: yesJ Res Natl Inst Stand Technol, 2015
Moody D   +5 more
europepmc   +1 more source

An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic 2

open access: yes, 2002
. We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for odd characteristic. Given a genus g hyperelliptic curve defined over F2n,
Jan Denef, Frederik Vercauteren
core  

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