DNA sequences and quaternary cyclic codes

There is a need to find generalized or universal tags for multiplex genome analysis. We use sets of reverse complement cyclic codes to generate DNA codes that can be used for DNA tags. These tags are placed on DNA chips and connect with the capture tags floating in a solution. The capture tags attach themselves to these generalized codes and give us much information about an individual strand. We show that the reverse complement cyclic and shortening cyclic codes are suitable for this application. We found theoretical bounds of parameters for these codes and the parameters and the generator polynomials of these codes for length up to 41.