Classification of type I codes over F4 + uF4

초록

The main purpose of this paper is to classify Type I (self-dual) codes over F-4 + uF(4) where u(2) = 0. By the standard form of generator matrix or a building-up construction, we classify all Type I codes of lengths up to 6. We confirm that our classification is correct by checking with the mass formula for Type I codes over F-4 + uF(4). We also classify the binary Type I codes of lengths a multiple of 4 which are the Gray images of Type I codes over F-4 + uF(4).

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