Bounds on the minimum distance of additive quantum codes

Bounds on [[130,111]]2

lower bound:4
upper bound:6

Construction

Construction of a [[130,111,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[130, 116, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 4, 10, 11, 12, 13, 14, 17, 19, 21, 23, 24, 28, 30, 32, 33, 39, 40, 41, 42, 45, 48, 50, 51, 52, 55, 57, 58, 60, 61, 63, 66, 67, 71, 72, 74, 75, 76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 93, 98, 99, 100, 104, 105, 106, 107, 108, 109, 115, 117, 121, 126, 127, 130, 131, 132, 133, 134, 138, 140, 142, 145, 146, 147, 149, 150, 153, 155, 156, 157, 158, 165, 167, 169, 174, 175, 177, 182, 183, 186, 189, 197, 199, 201, 202, 204, 205, 209, 210, 211, 214, 216, 217, 218, 219, 220, 223, 225, 230, 231, 233, 234, 235, 236, 238, 241, 242, 244, 248, 252 }
[3]:  [[130, 111, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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