Bounds on the minimum distance of additive quantum codes

Bounds on [[121,48]]2

lower bound:13
upper bound:24

Construction

Construction of a [[121,48,13]] quantum code:
[1]:  [[255, 183, 13]] quantum code over GF(2^2)
     BCH code with parameters 255 13
[2]:  [[120, 48, 13]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 5, 6, 8, 10, 11, 12, 13, 14, 16, 18, 20, 21, 22, 23, 24, 26, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 40, 41, 44, 45, 47, 48, 50, 52, 53, 60, 64, 65, 68, 69, 70, 71, 72, 73, 75, 77, 78, 81, 84, 85, 86, 90, 93, 94, 97, 100, 102, 104, 105, 106, 108, 109, 110, 112, 117, 118, 120, 124, 125, 127, 129, 130, 132, 135, 137, 140, 143, 146, 147, 152, 154, 155, 157, 159, 160, 161, 162, 163, 165, 166, 167, 170, 173, 174, 177, 178, 180, 181, 183, 184, 189, 191, 193, 194, 196, 198, 200, 202, 204, 205, 206, 207, 208, 211, 213, 216, 220, 221, 227, 229, 230, 234, 236, 238, 240, 243, 244, 247, 248, 251, 253, 254, 255 }
[3]:  [[121, 48, 13]] quantum code over GF(2^2)
     ExtendCode [2] by 1

    stabilizer matrix:

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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