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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Yang-Cheng Li

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Preprint Oct 2026

MDS codes containing a fixed subcode over finite field extensions

Let $2\le k\le n$ and let $U\le\mathbb{F}_q^n$ be a fixed $(k-1)$-dimensional linear code. We study the $[n,k]$ maximum distance separable (MDS) codes over finite extensions of $\mathbb{F}_q$ that contain the scalar extension of $U$. Our approach constructs an auxiliary linear code from \(U\). Its full-weight words cha...

Yang-Cheng Li, Ping-Zhi Yuan · 0 citations
Preprint Sep 2026

Descent, Seminormalization, and Conductors of Sparse Profile Images

We develop a descent theory for sparse factorization-profile images, asking which functions on a normalization descend to the actual image. Whole-fiber completions yield a Fourier-zero classification for homogeneous masks, with a sharp stable converse, and a Fourier-line classification for mixed aperiodic profiles in t...

Yang-Cheng Li · 0 citations

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