14 citations · 53 across the 54 of their papers we have counts for
70 papers
Spectral Theory of Semisimple Bivariate Bicycle Codes
Eric Sabo, Mahir Bilen Can, David Marquis
Extending the classical theory of two-dimensional cyclic codes, we develop an algebraic approach to bivariate bicycle codes. Using Frobenius-orbit idempotents, formulas for logical…
Toric Schubert Varieties in Partial Flag Varieties
Mahir Bilen Can, Arpita Nayek, Pinakinath Saha
In this article, we investigate the toric Schubert varieties in partial flag varieties for a connected semisimple algebraic group . Using Deodhar's decomposition of Richar…
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…
(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras
Mahir Bilen Can, Ana Casimiro, Ferruh Özbudak
We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…
Mixing and Merging Metric Spaces using Directed Graphs
Mahir Bilen Can, Shantanu Chakrabartty
Let be metric spaces, where is a distance function for . Let denote the set theoreti…