4 papers · 1 filter
Duality and decoding of linearized Algebraic Geometry codes
Elena Berardini, Xavier Caruso, Fabrice Drain
We design a polynomial time decoding algorithm for linearized Algebraic Geometry codes with unramified evaluation places, a family of sum-rank metric evaluation codes on division a…
Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions
Xavier Caruso, Florian Fürnsinn
We discuss algorithms for arithmetic properties of hypergeometric functions. Most notably, we are able to compute the p-adic valuation of a hypergeometric function on any disk of r…
Algebraic and Arithmetic Attributes of Hypergeometric Functions in SageMath
Xavier Caruso, Florian Fürnsinn
We report on implementations for algorithms treating algebraic and arithmetic properties of hypergeometric functions in the computer algebra system SageMath. We treat hypergeometri…
Diagonals and algebraicity modulo : a sharper degree bound
Boris Adamczewski, Alin Bostan, Xavier Caruso
In 1984, Deligne proved that for any prime number , the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is algebraic over…