Bounds on the minimum distance of additive quantum codes

Bounds on [[161,145]]2

lower bound:4
upper bound:4

Construction

Construction of a [[161,145,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[161, 147, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 11, 14, 15, 17, 19, 20, 22, 24, 26, 28, 34, 36, 38, 45, 48, 51, 59, 63, 65, 75, 76, 77, 82, 89, 92, 93, 102, 105, 107, 109, 110, 111, 113, 114, 116, 119, 121, 122, 123, 124, 125, 126, 128, 130, 137, 139, 150, 156, 157, 159, 161, 168, 175, 182, 183, 184, 191, 192, 195, 197, 198, 203, 205, 206, 208, 209, 214, 216, 217, 220, 222, 224, 225, 226, 231, 232, 233, 234, 237, 238, 241, 242, 243, 244, 247, 249, 250, 251, 252 }
[3]:  [[161, 145, 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 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1|0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1|1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0]
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      [0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1|0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0]
      [0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1|0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0]
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last modified: 2009-02-08

Notes


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