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math.DS2017
Uniform Probability and Natural Density of Mutually Left Coprime Polynomial Matrices over Finite Fields
Julia Lieb
We compute the uniform probability that finitely many polynomials over a finite field are pairwise coprime and compare the result with the formula one gets using the natural densit…
math.DS2016★ 2 cited
The Probability of Primeness for Specially Structured Polynomial Matrices over Finite Fields with Applications to Linear Systems and Convolutional Codes
Julia Lieb
We calculate the probability that random polynomial matrices over a finite field with certain structures are right prime or left prime, respectively. In particular, we give an asym…