A note on the q-ary image of a q/sup m/-ary repeated-root cyclic code

摘要

For (n,q)=p/sup s/, where p=ch(F/sub q/), s/spl ges/1, V a q/sup m/-ary repeated-root cyclic code of length n with generator polynomial g(x), we give a partial answer about whether the q-ary image of V is cyclic or not with respect to a certain basis for F/sub q/m over F/sub q/.