Abstract

Motivated from Reed-Muller codes, families of reversible, reversible-complement, and GC-balanced DNA codes are constructed from the ring ℤ <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">6</inf> . In addition, DNA codewords are free from any secondary structures having stems of length more than two and homopolymers with run-length more than three. Also, DNA strings obtained from concatenations of those DNA codewords avoid secondary structures and homopolymers. We have also given a lower bound on the size of DNA codes with all these properties together.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.