Bounds on the minimum distance of additive quantum codes

Bounds on [[160,143]]2

lower bound:4
upper bound:5

Construction

Construction of a [[160,143,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[160, 146, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 14, 15, 19, 22, 23, 27, 30, 36, 37, 38, 42, 44, 46, 47, 57, 61, 66, 69, 72, 74, 80, 85, 87, 92, 93, 98, 99, 101, 105, 106, 107, 113, 114, 116, 119, 120, 121, 123, 124, 125, 129, 132, 133, 134, 135, 136, 137, 142, 146, 147, 151, 152, 156, 158, 164, 166, 168, 177, 178, 181, 185, 190, 192, 193, 197, 198, 206, 207, 208, 209, 213, 216, 219, 220, 222, 224, 225, 229, 231, 232, 233, 235, 238, 240, 241, 242, 247, 250, 251, 252 }
[3]:  [[160, 143, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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

Notes


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