Rumi Melih Pelen

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math.CO2026

Optimal and minimal $p$ -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…

math.CO2026

Association schemes from vectorial generalized Maiorana-McFarland bent functions with non-weakly regular components

Rumi Melih Pelen

Let $p$ be an odd prime, $q = p^{k}$ , and $r = p^{s}$ with $s ∣ k$ . We study $F_{r}$ -valued generalized Maiorana-McFarland functions $H(x,y,z)=P^{(z)}(x)+\operatorname{Tr}_s^k(yz)…

Optimal and minimal p-ary linear codes from generalized order ideals of hierarchical posets

Association schemes from vectorial generalized Maiorana-McFarland bent functions with non-weakly regular components

Optimal and minimal $p$ -ary linear codes from generalized order ideals of hierarchical posets