Abstract
The self-orthogonal codes are linear codes, which are the basis for constructing quantum codes. In this paper, Hermitian self-orthogonal codes are studied with dual distance of 3 over the field \(F_{4}\). For two types of codes length n, by using the method of recursion and combination, quaternary self-orthogonal codes are constructed and dual distance is 3. Quaternary quantum codes are obtained by CSS structure method, which have good parameters.
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