Bounds on the minimum distance of additive quantum codes

Bounds on [[119,110]]2

lower bound:3
upper bound:3

Construction

Construction of a [[119,110,3]] quantum code:
[1]:  [[168, 159, 3]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[119, 110, 3]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 7, 9, 10, 11, 12, 16, 21, 26, 29, 30, 32, 44, 50, 69, 89, 92, 93, 95, 100, 101, 104, 106, 107, 108, 110, 116, 119, 120, 125, 127, 128, 130, 135, 136, 141, 146, 147, 149, 150, 151, 152, 155, 157, 159, 160, 163, 164 }

    stabilizer matrix:

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

last modified: 2008-08-05

Notes


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