Akademik Veri Yönetim Sistemi
Bulletin of the Malaysian Mathematical Sciences Society, cilt.49, sa.1, 2026 (SCI-Expanded, Scopus)
One of the crucial problems in coding theory is constructing linear codes with good parameters. Various techniques exist for the construction of linear codes, one involving functions over finite fields. This study focuses on the construction of novel quinary (minimal) linear codes using weakly regular plateaued and bent functions defined over the finite field Fp, where p=5. This paper has two new ideas. The first one is to use new defining subsets of F5n to develop linear codes over F5. The latter aims to utilise an extensive new set of functions within the proposed defining sets. Explicitly, to create new linear codes over the finite field F5, we employ weakly regular plateaued and bent functions in the six new defining subsets of F5n. Then, we obtain new classes of quinary linear codes by utilising the sets of pre-images from weakly regular plateaued, as well as bent, functions within the framework for constructing linear codes over F5.