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Quantum cyclic and constacyclic codes

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1 Author(s)
Lin Xiaoyan ; Dept. of Math. Sci., Tsinghua Univ., Beijing, China

Based on classical quaternary constacyclic linear codes, we construct a set of quantum codes with parameters [[(4m -1)/3, (4m -1)/3 -2(3l + b)m, 4l + b + 2]] where m≥4, 1≤b≤3, and 12l + 3b < 2 × 4└<span>(m+2)/3/-1, which are better than the codes in Bierbrauer and Edel (2000).

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Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 3 )