Bounds on the minimum distance of additive quantum codes

Bounds on [[16,1]]2

lower bound:6
upper bound:6

Construction

Construction of a [[16,1,6]] quantum code:
[1]:  [[16, 2, 6]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[16, 1, 6]] quantum code over GF(2^2)
     Subcode of [1]

    stabilizer matrix:

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

last modified: 2005-06-24

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024