Bounds on the minimum distance of additive quantum codes

Bounds on [[21,9]]2

lower bound:4
upper bound:5

Construction

Construction of a [[21,9,4]] quantum code:
[1]:  [[17, 9, 4]] Quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[21, 9, 4]] Quantum code over GF(2^2)
     ExtendCode [1] by 4

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0|0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0]
      [0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0|0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0]
      [0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0|1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0]
      [0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0|0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 0]
      [0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0|1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0]
      [0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0|1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0]
      [0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 0|0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0|0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]

last modified: 2005-06-24

Notes


This page is maintained by Markus Grassl (grassl@ira.uka.de). Last change: 23.10.2014