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math.NT2020
The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace
Yağmur Çakıroğlu, Oğuz Yayla, Emrah Sercan Yılmaz
We present the formula for the number of monic irreducible polynomials of degree over the finite field where the coefficients of and vanish for $n\g…
math.NT2018
Improved lower bound on the family complexity of Legendre sequences
Yaǧmur Çakıroǧlu, Oǧuz Yayla
In this paper we study a family of binary Legendre sequences and its family complexity. Family complexity is a pseudorandomness measure introduced by Ahlswede et.~al.~in 2003. A lo…