Information on Result #679036
Linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(4149, 16392, F4, 29) (dual of [16392, 16243, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4141, 16391, F4, 27) (dual of [16391, 16250, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(4158, 16401, F4, 30) (dual of [16401, 16243, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(4167, 16410, F4, 31) (dual of [16410, 16243, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(4146, 16410, F4, 27) (dual of [16410, 16264, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4148, 16419, F4, 27) (dual of [16419, 16271, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4189, 16432, F4, 34) (dual of [16432, 16243, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4151, 16429, F4, 27) (dual of [16429, 16278, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4209, 16449, F4, 37) (dual of [16449, 16240, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4212, 16455, F4, 37) (dual of [16455, 16243, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4159, 16448, F4, 27) (dual of [16448, 16289, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(4223, 16466, F4, 38) (dual of [16466, 16243, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(4210, 16452, F4, 37) (dual of [16452, 16242, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4211, 16454, F4, 37) (dual of [16454, 16243, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4209, 16452, F4, 36) (dual of [16452, 16243, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4160, 16452, F4, 27) (dual of [16452, 16292, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(4221, 16458, F4, 38) (dual of [16458, 16237, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(4187, 16426, F4, 34) (dual of [16426, 16239, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4188, 16430, F4, 34) (dual of [16430, 16242, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4150, 16428, F4, 27) (dual of [16428, 16278, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4209, 16450, F4, 37) (dual of [16450, 16241, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(4158, 16447, F4, 27) (dual of [16447, 16289, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4178, 16417, F4, 33) (dual of [16417, 16239, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(4177, 16415, F4, 33) (dual of [16415, 16238, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(4176, 16413, F4, 33) (dual of [16413, 16237, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(4166, 16404, F4, 31) (dual of [16404, 16238, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4165, 16402, F4, 31) (dual of [16402, 16237, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(4168, 16412, F4, 31) (dual of [16412, 16244, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4157, 16394, F4, 30) (dual of [16394, 16237, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(4159, 16403, F4, 30) (dual of [16403, 16244, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(4150, 16394, F4, 29) (dual of [16394, 16244, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(4145, 16404, F4, 27) (dual of [16404, 16259, 28]-code) | [i] | ✔ | |
| 33 | Linear OA(4147, 16412, F4, 27) (dual of [16412, 16265, 28]-code) | [i] | ✔ | |
| 34 | Linear OOA(4141, 1260, F4, 27, 27) (dual of [(1260, 27), 33879, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |