14 citations · 53 across the 54 of their papers we have counts for
4 papers · 1 filter
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…
Evaluation Codes in Bottleneck Metrics
Mahir Bilen Can, Dillon Montero, Ferruh Özbudak
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…
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…
Error Correcting Codes From General Linear Groups
Mahir Bilen Can
The parameters of the AG codes on general linear groups are found. The hyperplane sections having the minimum (or maximum) number of rational points are determined.