Information on Result #679020
Linear OA(4225, 16384, F4, 43) (dual of [16384, 16159, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4225, 10441, F4, 2, 43) (dual of [(10441, 2), 20657, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4225, 10441, F4, 3, 43) (dual of [(10441, 3), 31098, 44]-NRT-code) | [i] | ||
| 3 | Digital (182, 225, 10441)-net over F4 | [i] | ||
| 4 | Linear OA(4233, 16392, F4, 45) (dual of [16392, 16159, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4225, 16391, F4, 43) (dual of [16391, 16166, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(4242, 16401, F4, 46) (dual of [16401, 16159, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 16410, F4, 47) (dual of [16410, 16159, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4230, 16410, F4, 43) (dual of [16410, 16180, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(4232, 16419, F4, 43) (dual of [16419, 16187, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(4235, 16429, F4, 43) (dual of [16429, 16194, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(4243, 16448, F4, 43) (dual of [16448, 16205, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(4246, 16454, F4, 43) (dual of [16454, 16208, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(4255, 16474, F4, 43) (dual of [16474, 16219, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(4256, 16477, F4, 43) (dual of [16477, 16221, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(4244, 16452, F4, 43) (dual of [16452, 16208, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(4255, 16477, F4, 43) (dual of [16477, 16222, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4254, 16474, F4, 43) (dual of [16474, 16220, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(4234, 16428, F4, 43) (dual of [16428, 16194, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(4242, 16447, F4, 43) (dual of [16447, 16205, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(4260, 16413, F4, 49) (dual of [16413, 16153, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(4250, 16404, F4, 47) (dual of [16404, 16154, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(4249, 16402, F4, 47) (dual of [16402, 16153, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(4252, 16412, F4, 47) (dual of [16412, 16160, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(4241, 16394, F4, 46) (dual of [16394, 16153, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(4243, 16403, F4, 46) (dual of [16403, 16160, 47]-code) | [i] | ✔ | |
| 26 | Linear OA(4234, 16394, F4, 45) (dual of [16394, 16160, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(4229, 16404, F4, 43) (dual of [16404, 16175, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(4231, 16412, F4, 43) (dual of [16412, 16181, 44]-code) | [i] | ✔ | |