Bounds on the minimum distance of additive quantum codes

Bounds on [[201,182]]2

lower bound:4
upper bound:5

Construction

Construction of a [[201,182,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[201, 187, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 10, 20, 27, 30, 42, 51, 63, 78, 85, 87, 89, 96, 114, 115, 116, 120, 121, 122, 123, 124, 125, 126, 128, 154, 158, 161, 164, 165, 173, 178, 205, 206, 220, 224, 225, 227, 231, 232, 234, 236, 237, 238, 242, 243, 244, 245, 246, 248, 249, 250, 252 }
[3]:  [[201, 182, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 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 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 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 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 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