Bounds on the minimum distance of additive quantum codes

Bounds on [[149,131]]2

lower bound:4
upper bound:5

Construction

Construction of a [[149,131,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[149, 135, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 6, 9, 10, 11, 16, 20, 21, 22, 24, 27, 30, 34, 38, 42, 44, 46, 48, 50, 57, 58, 60, 61, 64, 70, 71, 72, 74, 75, 78, 85, 87, 90, 91, 92, 93, 95, 98, 100, 104, 105, 106, 107, 111, 112, 115, 116, 119, 120, 132, 134, 135, 144, 145, 151, 154, 155, 158, 160, 162, 164, 165, 166, 169, 170, 171, 175, 177, 178, 180, 185, 186, 188, 189, 191, 193, 197, 202, 204, 207, 208, 209, 211, 215, 219, 224, 225, 227, 228, 230, 231, 236, 239, 241, 242, 245, 246, 248, 249, 250, 251, 252 }
[3]:  [[149, 131, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1|0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0|1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1]
      [0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0]
      [0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0|0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0]
      [0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1]
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last modified: 2009-02-08

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024