6533b7d4fe1ef96bd12630f7
RESEARCH PRODUCT
Point counting on Picard curves in large characteristic
Annegret WengEdlyn TeskeMark Bauersubject
Discrete mathematicsAlgebra and Number TheoryApplied MathematicsJacobian varietyGeometryField (mathematics)Computational Mathematicssymbols.namesakeMathematics::Algebraic GeometryFinite fieldPoint countingCardinalityJacobian matrix and determinantsymbolsPicard hornPrime fieldMathematicsdescription
We present an algorithm for computing the cardinality of the Jacobian of a random Picard curve over a finite field. If the underlying field is a prime field Fp, the algorithm has complexity O(p).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-03-31 | Mathematics of Computation |