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On the structure of cyclic codes over F q + uF q + vF q + uvF q

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Publication:2887510
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DOI10.1007/S11859-011-0780-5zbMath1249.94058OpenAlexW1977667898MaRDI QIDQ2887510

Xiaofang Xu, Xiu-sheng Liu

Publication date: 1 June 2012

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-011-0780-5


zbMATH Keywords

cyclic codesquasi-cyclic codegray-map


Mathematics Subject Classification ID

Cyclic codes (94B15)





Cites Work

  • Unnamed Item
  • Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
  • On modular cyclic codes
  • Cyclic codes over the integers modulo \(p^m\).
  • On the structure of linear and cyclic codes over a finite chain ring
  • Modular and \(p\)-adic cyclic codes
  • Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
  • Cyclic and Negacyclic Codes Over Finite Chain Rings
  • The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes




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