Jinle Liu

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20242026

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math.NT2025

The Multiple Equal-Difference Structure of Cyclotomic Cosets

Li Zhu, Juncheng Zhou, Jinle Liu +1

In this paper we introduce the definition of equal-difference cyclotomic coset, and prove that in general any cyclotomic coset can be decomposed into a disjoint union of equal-diff…

math.NT2024

Explicit Representatives and Sizes of Cyclotomic Cosets II: Cyclotomic Systems and Applications to Constacyclic Codes

Li Zhu, Jinle Liu, Hongfeng Wu

Let $q = p^{e}$ be a prime power, let $ℓ$ be a prime with $g cd (ℓ, q n) = 1$ , and let $n$ be a positive integer. While $q$ -cyclotomic cosets are usually considered modulo a fixed int…