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arXiv · 1703.09204

On period polynomials of degree $2^m$ and weight distributions of certain irreducible cyclic codes

Ioulia N. Baoulina
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Abstract

We explicitly determine the values of reduced cyclotomic periods of order $2^m$, $m\ge 4$, for finite fields of characteristic $p\equiv 3$ or $5\pmod{8}$. These evaluations are applied to obtain explicit factorizations of the corresponding reduced period polynomials. As another application, the weight distributions of certain irreducible cyclic codes are described.

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BibTeXRIS

Ioulia N. Baoulina. 2018-01-01. On period polynomials of degree $2^m$ and weight distributions of certain irreducible cyclic codes. https://doi.org/10.1016/j.ffa.2017.12.006

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