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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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Equivalence and Duality of Polycyclic Codes Associated with Trinomials over Finite Fields
Minjia Shi, Haodong Lu, Shuang Zhou, Jiarui Xu, Yuhang Zhu · 2022-04-06 · via cs.IT updates on arXiv.org

In this paper, several conjectures proposed in [2] are studied, involving the equivalence and duality of polycyclic codes associated with trinomials. According to the results, we give methods to construct isodual and self-dual polycyclic codes, and study the self-orthogonal and dual-containing polycyclic codes over F2.

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