Characterization and Enumeration of Good Punctured Polynomials over Finite Fields
Somphong Jitman, Aunyarut Bunyawat, Supanut Meesawat and 2 more
International Journal of Mathematics and Mathematical Sciences · 2016
doi:10.1155/2016/6093219 (opens in a new tab)
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Abstract
A family of good punctured polynomials is introduced. The complete characterization and enumeration of such polynomials are given over the binary field F2. Over a nonbinary finite field Fq, the set of good punctured polynomials of degree less than or equal to 2 are completely determined. For n≥3, constructive lower bounds of the number of good punctured polynomials of degree n over Fq are given.
Abstract licence: CC BY
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