Article
On the Pseudorandomness of the Liouville Function of Polynomials over a Finite Field
Authors
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Abstract
We study several pseudorandom properties of the Liouville func- tion and the Mobius function of polynomials over a finite field. More precisely, we obtain bounds on their balancedness as well as their well-distribution measure, correlation measure, and linear complexity profile.
Keywords
polynomials, finite fields, irreducible factors, pseudorandom sequence, balanced ness, well-distribution, correlation measure, linear complexity, polynomial Liouville function, polynomial Mobius function.
Citation
Mérai, L. & Winterhof, A. (2016). On the pseudorandomness of the liouville function of polynomials over a finite field. Uniform Distribution Theory, 11(1), 47–58. https://doi.org/10.1515/udt-2016-0004
L. Mérai and A. Winterhof, “On the pseudorandomness of the liouville function of polynomials over a finite field,” Uniform Distribution Theory, vol. 11, no. 1, pp. 47–58, 2016, doi: 10.1515/udt-2016-0004.
Mérai L, Winterhof A. On the pseudorandomness of the liouville function of polynomials over a finite field. Uniform Distribution Theory. 2016;11(1):47–58. doi:10.1515/udt-2016-0004.
Mérai, L. and Winterhof, A. (2016), ‘On the pseudorandomness of the liouville function of polynomials over a finite field’, Uniform Distribution Theory, 11(1), pp. 47–58. Available at: https://doi.org/10.1515/udt-2016-0004.
Mérai, László, and Arne Winterhof. “On the Pseudorandomness of the Liouville Function of Polynomials Over a Finite Field.” Uniform Distribution Theory, vol. 11, no. 1, 2016, pp. 47–58. https://doi.org/10.1515/udt-2016-0004.
Mérai, László, and Arne Winterhof. “On the Pseudorandomness of the Liouville Function of Polynomials Over a Finite Field.” Uniform Distribution Theory 11, no. 1 (2016): 47–58. https://doi.org/10.1515/udt-2016-0004.
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Published by: Engineering Journals
