Bounds on the minimum distance of additive quantum codes

Bounds on [[187,170]]2

lower bound:4
upper bound:4

Construction

Construction of a [[187,170,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[187, 173, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 5, 6, 9, 10, 12, 27, 29, 36, 41, 43, 47, 50, 55, 69, 84, 88, 91, 93, 106, 115, 117, 120, 122, 125, 127, 129, 133, 136, 156, 172, 186, 187, 191, 196, 197, 206, 208, 209, 217, 218, 222, 224, 226, 228, 229, 230, 231, 232, 233, 234, 235, 236, 238, 239, 240, 241, 242, 243, 244, 246, 247, 249, 250, 251, 252 }
[3]:  [[187, 170, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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