Li Zhu

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20242026

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math.NT2024

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

Li Zhu, 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…

cs.IT2024

Explicit Representatives and Sizes of Cyclotomic Cosets and their Application to Cyclic Codes over Finite Fields

Li Zhu, Jinle Liu, Hongfeng Wu

Cyclotomic coset is a classical notion in the theory of finite field which has wide applications in various computation problems. Let $q$ be a prime power, and $n$ be a positive in…