On Rank and MDR Cyclic Codes of Length $$2^k$$ 2 k Over $$Z_8$$ Z 8

DOI10.1007/978-3-319-53007-9_16zbMath1487.94176OpenAlexW2583486215MaRDI QIDQ2971645

Sucheta Dutt, Arpana Garg

Publication date: 7 April 2017

Published in: Algorithms and Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-53007-9_16

zbMATH Keywords

rankcyclic codesMDR codesminimal degree polynomial

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (1)

On rank and MDR cyclic and negacyclic codes of length \(p^k\) over \(\mathbb Z_{p^m}\)

Cites Work

• On modular cyclic codes
• Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
• A basic exact sequence for the Lee and Euclidean weights of linear codes over \(\mathbb{Z}_l\)
• Cyclic codes of length \(2^e\) over \(\mathbb Z_4\).
• On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
• Repeated-root cyclic and negacyclic codes over a finite chain ring
• Cyclic Codes over Galois Rings
• A Mass Formula and Rank of<tex>$BBZ_4$</tex>Cyclic Codes of Length<tex>$2^e$</tex>
• On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
• Negacyclic Codes of Length<tex>$2^s$</tex>Over Galois Rings
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

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