E. S. Alekseenko, S. I. Aleshnikov, A. I. Zaytsev, “Optimal curves of genus $3$ over finite field with discriminant $-19$”, Prikl. Diskr. Mat., 2010, supplement № 3,Pages 6

Theoretical Foundations of Applied Discrete Mathematics

Optimal curves of genus $3$ over finite field with discriminant $-19$

E. S. Alekseenko^a, S. I. Aleshnikov^a, A. I. Zaytsev^b

^a Immanuel Kant State University of Russia, Kaliningrad
^b University College Dublin, Ireland

Abstract: In the paper, we obtain the equations for optimal curves of genus 3 defined over a finite field of the discriminant $-19$.

UDC: 511