Bounds on the minimum distance of additive quantum codes

Bounds on [[119,101]]2

lower bound:4
upper bound:5

Construction

Construction of a [[119,101,4]] quantum code:
[1]:  [[126, 114, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[114, 102, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 29, 47, 80, 94, 95, 102, 103, 111, 120, 122, 123, 124 }
[3]:  [[114, 101, 4]] quantum code over GF(2^2)
     Subcode of [2]
[4]:  [[119, 101, 4]] quantum code over GF(2^2)
     ExtendCode [3] by 5

    stabilizer matrix:

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

last modified: 2006-04-03

Notes


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