Information on Result #679044
Linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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 OA(4107, 16392, F4, 21) (dual of [16392, 16285, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(4116, 16401, F4, 22) (dual of [16401, 16285, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(4125, 16410, F4, 23) (dual of [16410, 16285, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(4104, 16410, F4, 19) (dual of [16410, 16306, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(4106, 16419, F4, 19) (dual of [16419, 16313, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(4147, 16432, F4, 26) (dual of [16432, 16285, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(4109, 16429, F4, 19) (dual of [16429, 16320, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(4167, 16449, F4, 29) (dual of [16449, 16282, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(4168, 16452, F4, 29) (dual of [16452, 16284, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4167, 16452, F4, 28) (dual of [16452, 16285, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(4145, 16426, F4, 26) (dual of [16426, 16281, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4146, 16430, F4, 26) (dual of [16430, 16284, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(4108, 16428, F4, 19) (dual of [16428, 16320, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(4167, 16450, F4, 29) (dual of [16450, 16283, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(4136, 16417, F4, 25) (dual of [16417, 16281, 26]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(4135, 16415, F4, 25) (dual of [16415, 16280, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(4134, 16413, F4, 25) (dual of [16413, 16279, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(4124, 16404, F4, 23) (dual of [16404, 16280, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(4123, 16402, F4, 23) (dual of [16402, 16279, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(4126, 16412, F4, 23) (dual of [16412, 16286, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(4115, 16394, F4, 22) (dual of [16394, 16279, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(4117, 16403, F4, 22) (dual of [16403, 16286, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(4108, 16394, F4, 21) (dual of [16394, 16286, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(4103, 16404, F4, 19) (dual of [16404, 16301, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(4105, 16412, F4, 19) (dual of [16412, 16307, 20]-code) | [i] | ✔ | |