4 papers
Optimal and minimal -ary linear codes from generalized order ideals of hierarchical posets
Rumi Melih Pelen
Hyun, Kim, Wu and Yue constructed optimal and minimal binary linear codes from order ideals of hierarchical posets with two levels. Two different generalizations of the underlying…
Association schemes from vectorial generalized Maiorana-McFarland bent functions with non-weakly regular components
Rumi Melih Pelen
Let be an odd prime, , and with . We study -valued generalized Maiorana-McFarland functions $H(x,y,z)=P^{(z)}(x)+\operatorname{Tr}_s^k(yz)…
Near-MDS codes of lengths q+6 and q+7 from conics in PG(2,q), q odd
Sinan Donmez, Atilla Akpinar, Rumi Melih Pelen
Near maximum distance separable (NMDS) codes of dimension 3 and length n over the finite field with q elements are equivalent to (n,3)-arcs in PG(2,q). For every odd prime power q…
Three Weight Ternary Linear Codes from Non-Weakly Regular Bent Functions
Rumi Melih Pelen
In this paper, several classes of three-weight ternary linear codes from non-weakly regular dual-bent functions are constructed based on a generic construction method. Instead of t…