Characterizations of some two-dimensional cyclic codes correspond to the ideals of \(\mathbb{F} [x, y] / < x^s - 1, y^{2^k} - 1 >\)

DOI10.1016/j.ffa.2016.06.003zbMath1351.94088OpenAlexW2517323386MaRDI QIDQ530399

Kazem Khashyarmanesh, Zahra Sepasdar

Publication date: 29 July 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.06.003

zbMATH Keywords

dual codesgenerator matrixtwo-dimensional codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items

1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u/\langle u^2-1\rangle$], Two dimensional constacyclic codes of arbitrary length over finite fields, Finding a generator matrix of a multidimensional cyclic code, Repeated-root two-dimensional constacyclic codes of length \(2p^s\cdot 2^k\)

Cites Work

• 2-D skew-cyclic codes over \(\mathbb F_q[x,y;\rho ,\theta\)]
• Decoding binary 2-D cyclic codes by the 2-D Berlekamp-Massey algorithm
• On determining the independent point set for doubly periodic arrays and encoding two-dimensional cyclic codes and their duals
• A theory of two-dimensional cyclic codes