Bounds on the minimum distance of additive quantum codes

Bounds on [[103,94]]2

lower bound:3
upper bound:3

Construction

Construction of a [[103,94,3]] quantum code:
[1]:  [[168, 159, 3]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[103, 94, 3]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 43, 46, 48, 49, 51, 53, 57, 58, 59, 60, 62, 64, 65, 66, 67, 68, 69, 71, 73, 76, 78, 81, 82, 85, 90, 92, 94, 95, 99, 106, 108, 109, 112, 115, 116, 118, 120, 123, 129, 130, 132, 133, 134, 135, 138, 140, 141, 143, 144, 145, 146, 147, 148, 153, 154, 156, 157, 158, 159, 161, 163, 164, 165, 166 }

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