4 papers
Partial direct product difference sets and sequences with ideal autocorrelation
Büşra Özden, Oğuz Yayla
In this paper, we study the sequences with (non-consecutive) two zero-symbols and ideal autocorrelation, which are also known as almost -ary nearly perfect sequences. We show th…
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…
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…
Almost p-ary Sequences
Büşra Özden, Oğuz Yayla
In this paper we study almost -ary sequences and their autocorrelation coefficients. We first study the number of distinct out-of-phase autocorrelation coefficients for a…