3 papers
math.AG2024
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…
cs.IT2023
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…
math.AC2018
Betti numbers for certain Cohen-Macaulay tangent cones
Mesut Şahin, Nil Şahin
In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine -space corresponding to a pseudo symmetric numerical semigroup. As…