Bounds on the minimum distance of additive quantum codes
Bounds on [[94,0]]2
| lower bound: | 22 |
| upper bound: | 32 |
Construction
Construction type: EzermanGrasslLingOzbudakOzkaya
Construction of a [[94,0,22]] quantum code:
[1]: [[94, 0, 22]] self-dual quantum code over GF(2^2)
QuasiCyclicCode of length 94 with generating polynomials: 1, w*x^45 + w^2*x^44 + w*x^43 + x^42 + w^2*x^41 + w*x^40 + w^2*x^38 + w^2*x^37 + x^36 + w*x^35 + w*x^34 + w*x^33 + x^32 + w*x^31 + w*x^30 + w^2*x^29 + x^28 + w^2*x^26 + x^25 + w*x^24 + w^2*x^23 + w^2*x^22 + w^2*x^21 + x^20 + w^2*x^19 + x^18 + w*x^17 + w*x^16 + w*x^14 + w*x^13 + x^12 + w^2*x^11 + w^2*x^10 + w*x^9 + x^8 + w*x^7 + w^2*x^6 + x^5 + w^2*x^3 + w*x + 1
stabilizer matrix:
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last modified: 2024-05-23
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