Explicit bounds of polynomial coefficients and counting points on Picard curves over finite fields

Author:

Sohn Gyoyong,Kim Hoil

Publisher

Elsevier BV

Subject

Computer Science Applications,Modeling and Simulation

Reference14 articles.

1. S. Arita, Algorithms for computations in Jacobians of Cab curve and their application to discrete-log-based public key cryptosystems, in: Proceedings of Conference on The Mathematics of Public Key Cryptography, Toronto, June 12–17, 1999

2. Point counting on Picard curves in large characteristic;Bauer;Math. Comp.,2005

3. On the Jacobian varieties of Picard curves defined over fields of characteristic p>0;Estrada Sarlabous;Math. Nachr.,1991

4. Fast arithmetic on Jacobians of Picard curves;Flon,2004

5. Arithmetric on superelliptic curves;Galbraith;Math. Comp.,2002

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1. Hasse–Witt and Cartier–Manin matrices: A warning and a request;Arithmetic Geometry: Computation and Applications;2019

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