Bounds on the minimum distance of additive quantum codes

Bounds on [[112,103]]2

lower bound:3
upper bound:3

Construction

Construction of a [[112,103,3]] quantum code:
[1]:  [[128, 119, 3]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[112, 103, 3]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 15, 29, 40, 57, 70, 98, 100, 101, 113, 114, 116, 118, 120, 125, 126 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1|0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1]
      [0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1|0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0]
      [0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0|0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0]
      [0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0|0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0]
      [0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0|0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0]
      [0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0|0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0|0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1|0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 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|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 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: 2006-04-03

Notes


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