New Linear Codes over Zps via the Trace Map
Asha Rao, Nimalsiri Pinnawala, Formerly A. Baliga · 2005
Abstract—The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s. We extend this technique to obtain new linear codes over Zps. It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order psm. I.