Cyclotomy, cyclotomic cosets and arithmetic properties of some families in \(\frac{\mathbb{F}_l [x]}{\langle x^{p^t q} - 1 \rangle}\)

DOI10.1142/S1793557123500237MaRDI QIDQ6650417

Kapil Kumar, Sudhir Batra

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cyclotomic numberscyclic codescyclotomic classes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Cites Work

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• Some cyclic codes of length \(2p^n\)
• Minimal codes of prime-power length.
• New generalized cyclotomy and its applications
• Minimal cyclic codes of length \(2p^n\)
• Minimal cyclic codes of length \(p^{n} q\).
• The primitive idempotents of a cyclic group algebra.
• Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x]/(x^{p^n} - 1)\)
• Some special cyclic codes of length 2n
• Cyclic self dual codes of length pq over Z₄
• Cyclotomy and arithmetic properties of some families in Z[x]/〈xpq − 1〉
• Generalized cyclotomic numbers and cyclic codes of prime power length over Z4
• Cyclotomic Constructions of Cyclic Codes With Length Being the Product of Two Primes

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