Bounds on the minimum distance of additive quantum codes

Bounds on [[112,78]]2

lower bound:7
upper bound:10

Construction

Construction of a [[112,78,7]] quantum code:
[1]:  [[256, 222, 7]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 6
[2]:  [[112, 78, 7]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 5, 6, 8, 10, 11, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 33, 34, 38, 39, 40, 43, 44, 45, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 79, 80, 81, 83, 84, 86, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 107, 108, 109, 110, 112, 113, 115, 117, 118, 119, 120, 121, 124, 126, 127, 129, 145, 147, 148, 150, 151, 152, 158, 160, 162, 165, 168, 171, 172, 173, 176, 177, 178, 180, 181, 184, 186, 187, 188, 189, 190, 192, 193, 194, 195, 198, 200, 209, 212, 215, 216, 218, 220, 222, 225, 230, 236, 237, 238, 239, 240, 241, 244, 247, 250, 251, 255 }

    stabilizer matrix:

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last modified: 2009-01-27

Notes


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