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math.NT2019★ 1 cited
The R-transform as a power map and its generalisations to higher degree
Alp Bassa, Ricardo Menares
We give iterative constructions for irreducible polynomials over F_q of degree nt^r for all nonnegative integers r, starting from irreducible polynomials of degree n. The iterative…
math.NT2019
Enumeration of a special class of irreducible polynomials in characteristic 2
Alp Bassa, Ricardo Menares
A-polynomials were introduced by Meyn and play an important role in the iterative construction of high degree self-reciprocal irreducible polynomials over the field F_2, since they…