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A Review on the Isomorphism Classes of Hyperelliptic Curves of Genus 2 over Finite Fields Admitting a Weierstrass Point

AuthorsEspinosa García, Javier; Hernández Encinas, Luis; Muñoz Masqué, Jaime
KeywordsFinite fields
Hyperelliptic curves
Public-key cryptography
Issue DateSep-2006
CitationActa Applicandae Mathematicae 93: 299-318 (2006)
AbstractThe reduced equations for the isomorphism classes of hyperelliptic curves of genus 2 admitting a Weierstrass point over a finite field of arbitrary characteristic, are shown and the number of such classes is included. This work picks up in a unified way a series of previous results published by several authors by using different methodologies. These classifications are of interest in designing and implementing of hyperelliptic curve cryptosystems.
Publisher version (URL)http://dx.doi.org/10.1007/s10440-006-9045-2
Appears in Collections:(IFA) Artículos
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