Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2

2006 ◽  
Vol 49 (2) ◽  
pp. 173-184 ◽  
Author(s):  
Yingpu Deng ◽  
Mulan Liu
Keyword(s):  
Finite Fields ◽  
Hyperelliptic Curves ◽  
Isomorphism Classes ◽  
Genus 2 ◽  
Characteristic 2

Supersingular hyperelliptic curves of genus 2 over finite fields

2005 ◽  
Vol 163 (2) ◽  
pp. 565-576 ◽  
Author(s):  
Young Ju Choie ◽  
Eun Kyung Jeong ◽  
Eun Jeong Lee
Keyword(s):  
Finite Fields ◽  
Hyperelliptic Curves ◽  
Genus 2

Supersingular Curves of Genus 2 over Finite Fields of Characteristic 2

1992 ◽  
Vol 159 (1) ◽  
pp. 73-81 ◽  
Author(s):  
Gerard Van Der Geer ◽  
Marcel Van Der Vlugt
Keyword(s):  
Finite Fields ◽  
Genus 2 ◽  
Characteristic 2 ◽  
Supersingular Curves

scholarly journals EMBEDDING FINITE FIELDS INTO ELLIPTIC CURVES

2019 ◽  
pp. 889
Author(s):  
Amirmehdi Yazdani Kashani ◽  
Hassan Daghigh
Keyword(s):  
Finite Field ◽  
Elliptic Curve ◽  
Elliptic Curves ◽  
Finite Fields ◽  
Hyperelliptic Curves ◽  
Rational Points ◽  
Elliptic Curve Cryptosystems ◽  
General Elliptic ◽  
Genus 2

Many elliptic curve cryptosystems require an encoding function from a finite field Fq into Fq-rational points of an elliptic curve. We propose a uniform encoding to general elliptic curves over Fq. We also discuss about an injective case of SWU encoing for hyperelliptic curves of genus 2. Moreover we discuss about an injective encoding for elliptic curves with a point of order two over a finite field and present a description for these elliptic curves.

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