An asymptotic formula for the number of irreducible transformation shift registers

@article{Cohen2015AnAF,
  title={An asymptotic formula for the number of irreducible transformation shift registers},
  author={Stephen D. Cohen and Sartaj Ul Hasan and Daniel Panario and Qiang Wang},
  journal={ArXiv},
  year={2015},
  volume={abs/1506.02548}
}
On the number of irreducible linear transformation shift registers
TLDR
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Пусть $p$ - простое число, $R=\mathrm{GR}(q^d,p^d)$ - кольцо Галуа мощности $q^d$ и характеристики $p^d$, где $q = p^r$, $S=\mathrm{GR}(q^{nd},p^d)$ - расширение степени $n$ кольца $R$, $\sigma$ -
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Abstract. We consider some combinatorial problems on matrix polynomials over finite fields. Using results from control theory we give a proof of a result of Helmke, Jordan and Lieb on the number of

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