TERNARY QUANTUM CODES OF MINIMUM DISTANCE THREE

Based on finite field and combinatorics theory, an elementary recursive construction is used to construct Hermitian self-orthogonal codes over F-9, the Galois field with nine elements, with dual distance three for all n >= 4. Consequently, good ternary linear quantum codes of minimum distance three for such length n are obtained. These ternary linear quantum codes are optimal or near optimal according to the quantum Singleton bound and quantum Hamming bound.