Bounds on the minimum distance of additive quantum codes

Bounds on [[205,190]]2

lower bound:4
upper bound:4

Construction

Construction of a [[205,190,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[205, 191, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 3, 4, 8, 14, 41, 44, 54, 61, 70, 96, 101, 105, 115, 120, 121, 123, 124, 126, 140, 150, 162, 165, 194, 197, 203, 206, 220, 221, 222, 223, 224, 225, 226, 228, 230, 233, 235, 236, 237, 238, 241, 242, 244, 247, 248, 251, 252 }
[3]:  [[205, 190, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

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