Bounds on the minimum distance of additive quantum codes

Bounds on [[20,7]]2

lower bound:4
upper bound:5

Construction

Construction of a [[20,7,4]] quantum code:
[1]:  [[17, 9, 4]] Quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[17, 7, 4]] Quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[20, 7, 4]] Quantum code over GF(2^2)
     ExtendCode [2] by 3

    stabilizer matrix:

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

last modified: 2005-06-30

Notes


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