engleski

A construction of Z4-codes from generalized bent functions

The subject of this talk is a construction of Type IV-II codes over Z4 from generalized bent functions. We use generalized bent functions for a construction of self-orthogonal codes over Z4 of length 2^m, for m odd, m ≥ 3, and prove that for m ≥ 5 those codes can be extended to Type IV-II Z4-codes. From that family of Type IV-II Z4-codes, we construct a family of self-dual Type II binary codes by using the Gray map. We consider the weight distributions of the obtained codes.

generalized bent function, Z4-code, self-dual code

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