Sequences of numbers via permutation polynomials over some finite rings




Permutation polynomial, Ring, Statistical tests, Cryptography


A polynomial can represent every function from a finite field to itself. The functions which are also permutations of the field give rise to permutation polynomials, which have potential applications in cryptology and coding theory. Permutation polynomials over finite rings are studied with respect to the sequences they generate. The sequences obtained through some permutation polynomials are tested for randomness by carrying out known statistical tests.

Author Biographies

G. R. Vadiraja Bhatta , Manipal Academy of Higher Education.

Manipal institute of Technology, Dept. of Mathematics, Center for cryptography.

B. R. Shankar, National Institute of Technology Karnataka.

Dept. of Mathematical and Computational Sciences.

Vishnu Narayan Mishra, Indira Gandhi National Tribal University.

Department of Mathematics.

Prasanna Poojary, Manipal Academy of Higher Education.

Department of Mathematics, Manipal institute of Technology


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How to Cite

G. R. V. Bhatta, B. R. Shankar, V. N. Mishra, and P. Poojary, “Sequences of numbers via permutation polynomials over some finite rings ”, Proyecciones (Antofagasta, On line), vol. 39, no. 5, pp. 1295-1313, Oct. 2020.