KEYWORDS: Coding theory, Mathematics, Binary data, Theory of computation, Information theory, Information and communication technologies, Computational mathematics, Communication theory, Bismuth
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.
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