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Isomorphism classes of Edwards curves over finite fields
Elliptic curves Edwards curves Isomorphisms
2012/3/28
Edwards curves are an alternate model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of $\Fq$-isomorphism classes of Edwards curves and twisted...
ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 3 OVER FINITE FIELDS
cryptography hyperelliptic curves finite fields
2009/4/10
We give the number of the isomorphism classes of hyperelliptic
curves of genus 3 defined over finite fields Fpn, p 6= 2; 7: These results have
applications to cryptography.
ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 2 OVER F2n
hyperelliptic curves of genus 2 finite fields isomorphism classes
2009/4/10
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. These re...
ISOMORPHISM CLASSES OF PICARD CURVES OVER FINITE FIELDS
Picard curve superelliptic curve isomorphism class
2009/4/8
In this paper we determine the number of isomorphism classes of
Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite
fields of characteristic different from 3. In the proc...