Daniel Herden

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cs.IT2026

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., $F_{q^{m}} [X; I ¨ ]$ -submodules of $\left(\mathbb{F}_{q^m}[X;Ï]/(X^n - 1)\right)^\e…

cs.IT2026

The trace dual of nonlinear skew cyclic codes

Daniel Bossaller, Daniel Herden, Indalecio Ruiz-BolaÃ±os

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…