Bounds on the minimum distance of additive quantum codes

Bounds on [[15,11]]2

lower bound:2
upper bound:2

Construction

Construction of a [[15,11,2]] quantum code:
[1]:  [[14, 12, 2]] Quantum code over GF(2^2)
     Distance two code
[2]:  [[14, 11, 2]] Quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[15, 11, 2]] Quantum code over GF(2^2)
     ExtendCode [2] by 1

    stabilizer matrix:

      [1 0 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 1 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 1 1 0]

last modified: 2005-06-27

Notes


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