Quantum cyclic and constacyclic codes

  • Authors:

  • Lin Xiaoyan

  • Affiliations:

  • Dept. of Math. Sci., Tsinghua Univ., Beijing, China

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

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 └span(m+2)/3┘/-1, which are better than the codes in Bierbrauer and Edel (2000).