Jinle Liu

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20242026

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cs.IT2026

BCH and LCD cyclic codes of length $n = I^» (q^{m} + 1)$ over finite fields

Jinle Liu, Hongfeng Wu, Li Zhu

BCH and LCD cyclic codes of length $n = I^» (q^{m} + 1)$ with $I^» ∣ q - 1$ are studied. A complete characterization of $q$ -cyclotomic cosets modulo $n$ is given: Theorem \ref{th4} provides…

cs.IT2025

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…

BCH and LCD cyclic codes of length n=I^»(qm+1) over finite fields

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

BCH and LCD cyclic codes of length $n = I^» (q^{m} + 1)$ over finite fields