5 papers
Weierstrass semigroups and the order bound
Alix Barraud, Yağmur Çakıroğlu, Bianca Gouthier +2
The aim of this survey is to provide the reader with an essential and accessible introduction to the theory of Weierstrass semigroups, in the context of the theory developed by K.-…
Codes on Weighted Projective Planes
Yağmur Çakıroğlu, Jade Nardi, Mesut Şahin
We comprehensively study weighted projective Reed-Muller (WPRM) codes on weighted projective planes . We provide the universal Gröbner basis for the vanishing id…
Algebraic Invariants of Codes on Weighted Projective Planes
Yağmur Çakıroğlu, Mesut Şahin
Weighted projective spaces are natural generalizations of projective spaces with a rich structure. Projective Reed-Muller codes are error-correcting codes that played an important…
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…