Characterization and Enumeration of Good Punctured Polynomials over Finite Fields

Somphong Jitman, Aunyarut Bunyawat, Supanut Meesawat, Arithat Thanakulitthirat and Napat Thumwanit

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-7

Abstract:

A family of good punctured polynomials is introduced. The complete characterization and enumeration of such polynomials are given over the binary field . Over a nonbinary finite field , the set of good punctured polynomials of degree less than or equal to are completely determined. For , constructive lower bounds of the number of good punctured polynomials of degree over are given.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6093219

DOI: 10.1155/2016/6093219

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