Bounds on the minimum distance of additive quantum codes

Bounds on [[15,10]]2

lower bound:2
upper bound:2

Construction

Construction of a [[15,10,2]] quantum code:
[1]:  [[12, 10, 2]] Quantum code over GF(2^2)
     Distance two code
[2]:  [[15, 10, 2]] Quantum code over GF(2^2)
     ExtendCode [1] by 3

    stabilizer matrix:

      [1 1 1 1 1 1 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 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 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 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|1 1 1 1 1 1 1 1 1 1 1 1 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