Application of classical hermitian self-orthogonal MDS codes to quantum MDS codes

  • Authors:

  • Lingfei Jin;San Ling;Jinquan Luo;Chaoping Xing

  • Affiliations:

  • School of Mathematics, Hefei University of Technology, Hefei, Anhui, China and Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological, University, S ...;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore;Division of Mathematical Sciences, School of Physical and MathematIcal Sciences, Nanyang Technological University, Singapore and School of Mathematical Sciences, Yangzhou University, Yangzhou, Chi ...;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2010

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Abstract

In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions.