Bounds on the minimum distance of additive quantum codes
Bounds on [[182,159]]2
| lower bound: | 4 |
| upper bound: | 6 |
Construction
Construction of a [[182,159,4]] quantum code:
[1]: [[252, 238, 4]] quantum code over GF(2^2)
Construction from a stored generator matrix
[2]: [[182, 168, 4]] quantum code over GF(2^2)
Shortening of [1] at { 9, 11, 12, 19, 20, 21, 23, 33, 35, 48, 53, 57, 63, 65, 74, 78, 81, 86, 89, 91, 100, 112, 114, 116, 119, 121, 124, 125, 128, 130, 134, 138, 141, 145, 152, 153, 165, 167, 169, 172, 186, 189, 194, 203, 206, 219, 220, 221, 222, 223, 225, 226, 227, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 245, 246, 248, 249, 251, 252 }
[3]: [[182, 159, 4]] quantum code over GF(2^2)
Subcode of [2]
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