Bounds on the minimum distance of additive quantum codes

Bounds on [[108,59]]2

lower bound:9
upper bound:16

Construction

Construction of a [[108,59,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[107, 59, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 2, 4, 5, 7, 8, 9, 12, 14, 15, 16, 17, 18, 19, 21, 22, 25, 26, 28, 29, 33, 34, 35, 37, 38, 39, 40, 42, 45, 48, 49, 50, 51, 54, 55, 56, 59, 62, 63, 65, 66, 69, 71, 73, 74, 79, 82, 83, 85, 86, 88, 89, 91, 93, 97, 98, 100, 101, 102, 103, 104, 105, 106, 109, 110, 111, 112, 114, 117, 118, 119, 122, 123, 124, 127, 129, 130, 131, 132, 135, 136, 137, 143, 144, 148, 149, 150, 151, 152, 155, 156, 158, 159, 161, 162, 164, 166, 167, 168, 169, 174, 182, 183, 184, 186, 187, 190, 191, 193, 195, 196, 197, 198, 200, 201, 202, 203, 205, 206, 209, 210, 211, 212, 214, 215, 216, 217, 218, 219, 221, 223, 226, 229, 230, 231, 232, 233, 234, 236, 237, 238, 242, 243, 248, 249, 252, 253, 254 }
[3]:  [[108, 59, 9]] 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