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Li-Zhong Chen

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Preprint Oct 2026

Sparse Moore-local realisations of binary irreducible polynomials on near-square lattice regions

For every $N\ge36$, we realise any prescribed monic irreducible binary polynomial of degree $N$ as the characteristic polynomial of a linear hybrid cellular automaton on a near-square region of exactly $N$ cells. The transition matrix is Moore-local with a null boundary and has at most $3N-1$ directed nonself dependenc...

Li-Zhong Chen · 0 citations
Preprint Aug 2026

Fixed-Defect Inverse Theorems for Subset Sums

Let $A$ be an $n$-element set of positive real numbers, let $FS(A)$ be its set of subset sums, and put $T_n=\binom{n+1}{2}$. For every fixed integer $C\geq-1$ and all sufficiently large $n$, we classify the sets satisfying $$ |FS(A)|\leq T_n+n+C+1. $$ Each such set is commensurable. Its unique primitive integer normali...

Li-Zhong Chen · 0 citations

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