Bounds on the minimum distance of additive quantum codes

Bounds on [[97,88]]2

lower bound:3
upper bound:3

Construction

Construction of a [[97,88,3]] quantum code:
[1]:  [[168, 159, 3]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[97, 88, 3]] quantum code over GF(2^2)
     Shortening of [1] at { 4, 41, 42, 43, 45, 47, 49, 51, 52, 54, 57, 59, 61, 64, 65, 66, 67, 68, 69, 70, 74, 76, 78, 79, 80, 81, 82, 83, 85, 86, 89, 92, 93, 94, 98, 100, 101, 103, 109, 111, 114, 115, 119, 120, 121, 123, 125, 127, 128, 129, 130, 132, 133, 135, 137, 138, 139, 140, 145, 146, 148, 149, 150, 151, 152, 153, 155, 159, 160, 161, 165 }

    stabilizer matrix:

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

last modified: 2008-08-05

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 23.10.2014