紀文鎮Chi, Wen-Chen洪崇峰Hung, Chung-Feng2019-09-052015-08-132019-09-052015http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060140029S%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101519無中文摘要We first recall the algebraic structures of constacyclic codes. Then, we describe constacyclic codes by finding their generator polynomials, and we also give a way to find the dual codes of constacyclic codes as well as to discuss the conditions of existence of self-dual codes of cyclic and negacyclic codes of length 2p^s over F_p^m. Finally, we give structures of all constacyclic codes of length 2p^s over F_p^m via isomorphisms between cyclic codes, negacyclic codes and constacyclic codes.finite fieldsconstacyclic codesdual codespolynomial generatorsfinite fieldsconstacyclic codesdual codespolynomial generators