Bounds on the minimum distance of additive quantum codes

Bounds on [[93,79]]2

lower bound:4
upper bound:4

Construction

Construction of a [[93,79,4]] quantum code:
[1]:  [[126, 114, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[91, 79, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 4, 11, 16, 20, 21, 23, 25, 28, 32, 33, 35, 39, 44, 50, 51, 53, 56, 57, 63, 64, 75, 80, 84, 87, 102, 108, 110, 111, 113, 116, 117, 119, 122 }
[3]:  [[93, 79, 4]] quantum code over GF(2^2)
     ExtendCode [2] by 2

    stabilizer matrix:

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

last modified: 2006-04-03

Notes


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