Bounds on the minimum distance of additive quantum codes
Bounds on [[155,122]]2
| lower bound: | 6 |
| upper bound: | 10 |
Construction
Construction of a [[155,122,6]] quantum code:
[1]: [[256, 230, 6]] quantum code over GF(2^2)
Extended BCH code with parameters 255 5
[2]: [[154, 128, 6]] quantum code over GF(2^2)
Shortening of [1] at { 1, 4, 5, 6, 10, 12, 13, 14, 18, 20, 22, 24, 25, 26, 28, 30, 31, 35, 36, 38, 48, 50, 51, 54, 55, 59, 62, 63, 65, 68, 69, 72, 75, 76, 86, 89, 94, 95, 97, 99, 102, 104, 106, 107, 111, 118, 120, 121, 122, 124, 126, 129, 136, 141, 144, 148, 150, 152, 162, 165, 166, 167, 168, 173, 176, 180, 181, 183, 186, 188, 192, 194, 196, 197, 198, 201, 204, 206, 209, 211, 214, 216, 219, 220, 221, 222, 227, 229, 230, 232, 234, 239, 242, 243, 244, 245, 247, 248, 249, 251, 254, 255 }
[3]: [[154, 122, 6]] quantum code over GF(2^2)
Subcode of [2]
[4]: [[155, 122, 6]] quantum code over GF(2^2)
ExtendCode [3] by 1
stabilizer matrix:
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last modified: 2009-02-08
Notes
- All codes establishing the lower bounds where constructed using MAGMA.
- Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
- For n>100, the upper bounds on qubit codes are weak (and not necessarily monotone in k).
- Some additional information can be found in the book by Nebe, Rains, and Sloane.
- My apologies to all authors that have contributed codes to this table for not giving specific credits.
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Markus Grassl
(codes@codetables.de).
Last change: 10.06.2024