Daniel P. Bossaller

activity

20182025

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3 papers · 1 filter

cs.IT2025

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings

Daniel P. Bossaller, Hiram H. López

Codes over rings, especially over Galois rings, have been extensively studied for nearly three decades due to their similarity to linear codes over finite fields. A distributed sto…

cs.IT2025

The trace dual of nonlinear skew cyclic codes

Daniel Bossaller, Daniel Herden, Indalecio Ruiz-Bolaños

Codes which have a finite field $F_{q^{m}}$ as their alphabet but which are only linear over a subfield $F_{q}$ are a topic of much recent interest due to their utili…

cs.IT2025

Nonlinear Skew Quasi-Cyclic Codes

Daniel Bossaller, Daniel Herden, Indalecio Ruiz-Bolanos

This article explores nonlinear analogues of skew quasi-cyclic codes of index~ $ℓ$ , i.e., $F_{q^{m}} [X; σ]$ -submodules of $\left(\mathbb{F}_{q^m}[X;σ]/(X^n - 1)\right)^\ell…