Gröbner Bases for Linearized Polynomials

Abstract

In this work we develop the theory of Gröbner bases for modules over the ring of univariate linearized polynomials with coefficients from a finite field.

References in corpus (2)

• List-Decoding Gabidulin Codes via Interpolation and the Euclidean Algorithm
• Iterative List-Decoding of Gabidulin Codes via Gröbner Based Interpolation

Cited by in corpus (1)

• Gabidulin Decoding via Minimal Bases of Linearized Polynomial Modules