简介:Thestudyofcycliccodesoverringshasgeneratedalotofpublicinterest.Inthispaper,westudycycliccodesandtheirdualcodesovertheringZP2oflengthpe,andfindasetofgeneratorsforthesecodes.Theranksandminimalgeneratorsetsofthesecodesarestudiedaswell,whichplayanimportantroleindecodinganddeterminingthedistancedistributionofcodes.