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 Zeta Functions of Supersingular Curves of Genus 2

2007 ◽  
Vol 59 (2) ◽  
pp. 372-392 ◽  
Author(s):  
Daniel Maisner ◽  
Enric Nart
Keyword(s):  
Finite Field ◽  
Zeta Function ◽  
Zeta Functions ◽  
Abelian Surfaces ◽  
Genus 2 ◽  
Characteristic 2 ◽  
Supersingular Curves

AbstractWe determine which isogeny classes of supersingular abelian surfaces over a finite field k of characteristic 2 contain jacobians. We deal with this problem in a direct way by computing explicitly the zeta function of all supersingular curves of genus 2. Our procedure is constructive, so that we are able to exhibit curves with prescribed zeta function and find formulas for the number of curves, up to k-isomorphism, leading to the same zeta function.

scholarly journals On the existence of some specific elements in finite fields of characteristic 2

2012 ◽  
Vol 18 (4) ◽  
pp. 800-813 ◽  
Author(s):  
Peipei Wang ◽  
Xiwang Cao ◽  
Rongquan Feng
Keyword(s):  
Finite Fields ◽  
Characteristic 2

scholarly journals Families of supersingular curves in characteristic 2

2002 ◽  
Vol 9 (5) ◽  
pp. 639-650 ◽  
Author(s):  
Jasper Scholten ◽  
Hui June Zhu
Keyword(s):  
Characteristic 2 ◽  
Supersingular Curves

Existence of pair of primitive elements over finite fields of characteristic 2

2018 ◽  
Vol 193 ◽  
pp. 386-394 ◽  
Author(s):  
Rajendra K. Sharma ◽  
Ambrish Awasthi ◽  
Anju Gupta
Keyword(s):  
Finite Fields ◽  
Primitive Elements ◽  
Characteristic 2

scholarly journals Split abelian surfaces over finite fields and reductions of genus-2 curves

2017 ◽  
Vol 11 (1) ◽  
pp. 39-76 ◽  
Author(s):  
Jeffrey Achter ◽  
Everett Howe
Keyword(s):  
Finite Fields ◽  
Abelian Surfaces ◽  
Genus 2 ◽  
Genus 2 Curves
Sign in / Sign up

Export Citation Format

Share Document