Construction of cyclic codes over \(\mathbb F _2+u\mathbb F _2\) for DNA computing

Original Paper

Abstract

We construct codes over the ring \(\mathbb F _2+u\mathbb F _2\) with \(u^2=0\) for use in DNA computing applications. The codes obtained satisfy the reverse complement constraint, the \(GC\) content constraint, and avoid the secondary structure. They are derived from cyclic reverse-complement codes over the ring \(\mathbb F _2+u\mathbb F _2\). We also construct an infinite family of BCH DNA codes.

Keywords

DNA codes Cyclic codes BCH codes Reed-Muller codes 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringUniversity of VictoriaVictoriaCanada
  2. 2.Faculty of MathematicsUSTHBAlgiersAlgeria

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