TY - CHAP

T1 - Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters

AU - Alekseenko, Ekaterina

AU - Zaytsev, Alexey

N1 - Publisher Copyright:
© 2015 American Mathematical Society.

PY - 2015

Y1 - 2015

N2 - In this paper we study an automorphism group of an optimal curve of genus 3 over a finite field with discriminant from {−19,−43,−67,−163} and obtain its explicit equation with three parameters on the base of covers arising from its automorphism group.

AB - In this paper we study an automorphism group of an optimal curve of genus 3 over a finite field with discriminant from {−19,−43,−67,−163} and obtain its explicit equation with three parameters on the base of covers arising from its automorphism group.

UR - http://www.scopus.com/inward/record.url?scp=85106818339&partnerID=8YFLogxK

U2 - 10.1090/conm/637/12760

DO - 10.1090/conm/637/12760

M3 - Chapter

AN - SCOPUS:85106818339

T3 - Contemporary Mathematics

SP - 245

EP - 249

BT - Contemporary Mathematics

PB - American Mathematical Society

ER -