Showing cs.ITShow all
3 papers · 1 filter
cs.IT2025
Generalized Hyperderivative Reed-Solomon Codes
Mahir Bilen Can, Benjamin Horowitz
This article introduces Generalized Hyperderivative Reed-Solomon codes (GHRS codes), which generalize NRT Reed-Solomon codes. Its main results are as follows: 1) every GHRS code is…
cs.IT2025
Evaluation Codes in Bottleneck Metrics
Mahir Bilen Can, Dillon Montero, Ferruh Ãzbudak
Analogs of Reed-Solomon codes are introduced within the framework of bottleneck poset metrics. These codes are proven to be maximum distance separable. Furthermore, the results are…
cs.IT2024
MDS Stabilizer Poset Codes
Mahir Bilen Can
Poset metrics in the context of stabilizer codes are investigated. MDS stabilizer poset codes are defined. Various characterizations of these quantum codes are found. Methods for p…