Bounds on the minimum distance of additive quantum codes

Bounds on [[93,80]]2

lower bound:4
upper bound:4

Construction

Construction of a [[93,80,4]] quantum code:
[1]:  [[126, 114, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[92, 80, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 4, 6, 8, 21, 24, 28, 29, 30, 31, 35, 39, 42, 49, 50, 52, 55, 56, 58, 64, 68, 74, 75, 80, 85, 92, 95, 102, 104, 105, 106, 111, 112, 125 }
[3]:  [[93, 80, 4]] quantum code over GF(2^2)
     ExtendCode [2] by 1

    stabilizer matrix:

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

last modified: 2006-04-03

Notes


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