Some results on the Z2Z4[u]-additive codes

Algebraic coding theory has so many important applications in information sciences, cryptogram and communication technology, etc. In this paper, we study Z₂Z₄[u]-additive codes in three aspects: Gray map, MacWilliams identity and one-weight codes. We first defined a Gray map and then prove that it is a weight preserving and a distance preserving map. A MacWilliams identity which connects the weight enumerator of an additive code and its dual code is deduced. Finally, we discuss one-weight Z₂Z₄[u]-additive codes.