We present algorithms that decompose an algebraic curve with rational coefficients in its defining bivariate equation into its irreducible real factors and its non-empty irreducib...
In this paper, we introduce a method to express a local linear operated in the neighbourhood of each point in the discrete space as a matrix transform. To derive matrix expressions...
We report on a generic uni- and bivariate algebraic kernel that is publicly available with Cgal 3.7. It comprises complete, correct, though efficient state-of-the-art implementati...
We present a new normal form for bounded-curvature paths that admits a combinatorial discription of such paths and a bound on the algebraic complexity of the underlying geometry.
This paper presents five methods for constructing nonbinary LDPC codes based on finite geometries. These methods result in five classes of nonbinary LDPC codes, one class of cyclic...
Lingqi Zeng, Lan Lan, Ying Yu Tai, Bo Zhou, Shu Li...