3 citations · 3 across the 7 of their papers we have counts for
9 papers
Codes on Subgroups of Weighted Projective Tori
Mesut Şahin, Oğuz Yayla
We obtain certain algebraic invariants relevant to study codes on subgroups of weighted projective tori inside an -dimensional weighted projective space. As application, we comp…
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…
Families of sequences with good family complexity and cross-correlation measure
Kenan Doğan, Murat Şahin, Oğuz Yayla
In this paper we study pseudorandomness of a family of sequences in terms of two measures, the family complexity (-complexity) and the cross-correlation measure of order .…
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…
Nearly perfect sequences with arbitrary out-of-phase autocorrelation
Oğuz Yayla
In this paper we study nearly perfect sequences (NPS) via their connection to direct product difference sets (DPDS). We prove the connection between a -ary NPS of period and…
Family complexity and cross-correlation measure for families of binary sequences
Arne Winterhof, Oğuz Yayla
We study the relationship between two measures of pseudorandomness for families of binary sequences: family complexity and cross-correlation measure introduced by Ahlswede et al.\…
Non-Existence of Some Nearly Perfect Sequences, Near Butson-Hadamard Matrices, and Near Conference Matrices
Arne Winterhof, Oğuz Yayla, Volker Ziegler
In this paper we study the non-existence problem of (nearly) perfect (almost) -ary sequences via their connection to (near) Butson-Hadamard (BH) matrices and (near) conference m…