Bounds on the minimum distance of additive quantum codes

Bounds on [[102,53]]2

lower bound:9
upper bound:16

Construction

Construction of a [[102,53,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[101, 53, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15, 19, 20, 23, 24, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 48, 50, 51, 52, 53, 56, 57, 58, 59, 61, 63, 64, 66, 67, 69, 70, 72, 74, 75, 77, 78, 81, 83, 84, 85, 92, 94, 95, 97, 98, 102, 103, 104, 105, 106, 109, 110, 111, 113, 114, 115, 121, 124, 125, 126, 128, 129, 130, 132, 133, 137, 138, 140, 141, 143, 144, 145, 146, 148, 149, 150, 153, 155, 157, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 171, 172, 174, 176, 178, 179, 181, 184, 185, 186, 187, 188, 194, 195, 196, 198, 199, 203, 205, 206, 207, 210, 211, 212, 213, 215, 216, 218, 220, 223, 227, 229, 230, 231, 232, 233, 234, 235, 236, 242, 243, 245, 247, 248, 249, 250, 252, 254 }
[3]:  [[102, 53, 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 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 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 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 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