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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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On Octonary Codes and their Covering Radii
Manoj K. Raut, Manish K. Gupta · 2014-11-07 · via cs.IT updates on arXiv.org

This paper introduces new reduction and torsion codes for an octonary code and determines their basic properties. These could be useful for the classification of self-orthogonal and self dual codes over $\mathbb{Z}_8$. We also focus our attention on covering radius problem of octonary codes. In particular, we determine lower and upper bounds of the covering radius of several classes of Repetition codes, Simplex codes of Type $α$ and Type $β$ and their duals, MacDonald codes, and Reed-Muller codes over $\mathbb{Z}_8$.

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