Bounds on the minimum distance of additive quantum codes

Bounds on [[100,51]]2

lower bound:9
upper bound:16

Construction

Construction of a [[100,51,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[99, 51, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 30, 32, 34, 35, 38, 40, 41, 46, 47, 51, 54, 55, 58, 59, 60, 65, 69, 70, 71, 74, 76, 82, 84, 86, 87, 88, 89, 90, 92, 95, 96, 97, 99, 100, 103, 104, 105, 108, 109, 111, 112, 113, 115, 116, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 143, 144, 147, 150, 154, 155, 159, 160, 161, 162, 163, 164, 167, 168, 170, 173, 175, 178, 179, 181, 183, 184, 185, 186, 187, 188, 190, 193, 195, 197, 198, 202, 203, 204, 205, 209, 211, 215, 216, 218, 219, 221, 222, 224, 227, 228, 230, 234, 235, 236, 240, 241, 242, 243, 244, 245, 246, 248, 249, 250, 251, 252, 253, 254, 255 }
[3]:  [[100, 51, 9]] quantum code over GF(2^2)
     ExtendCode [2] by 1

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 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 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0]
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last modified: 2006-04-03

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 23.10.2014