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Cyclic codes over the ring \(F_2+uF_2+vF_2\)

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Publication:1993554
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DOI10.1007/s40314-017-0460-yzbMath1403.94119OpenAlexW2621509003MaRDI QIDQ1993554

Mohammad Reza Alimoradi, Karim Samei

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-017-0460-y

zbMATH Keywords

Gray mapoptimal codesquantum codesFrobenius ring


Mathematics Subject Classification ID

Cyclic codes (94B15)


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Uses Software

  • Code Tables


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  • Self-dual codes over commutative Frobenius rings
  • Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
  • 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
  • Duality for modules over finite rings and applications to coding theory
  • Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
  • Negacyclic and cyclic codes over Z/sub 4/
  • Maximum distance codes over rings of order 4
  • ON OPTIMAL QUANTUM CODES
  • Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
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