Information on Result #612584
Linear OA(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
Mode: Constructive and linear.
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(432, 16390, F4, 6) (dual of [16390, 16358, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(429, 12086, F4, 2, 6) (dual of [(12086, 2), 24143, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(429, 12086, F4, 3, 6) (dual of [(12086, 3), 36229, 7]-NRT-code) | [i] | ||
| 4 | Digital (23, 29, 12086)-net over F4 | [i] | ||
| 5 | Linear OA(436, 16391, F4, 7) (dual of [16391, 16355, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(429, 16391, F4, 6) (dual of [16391, 16362, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(444, 16399, F4, 8) (dual of [16399, 16355, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(446, 16401, F4, 9) (dual of [16401, 16355, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(432, 16401, F4, 6) (dual of [16401, 16369, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(455, 16410, F4, 10) (dual of [16410, 16355, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(464, 16419, F4, 11) (dual of [16419, 16355, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(463, 16412, F4, 11) (dual of [16412, 16349, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(454, 16403, F4, 10) (dual of [16403, 16349, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(456, 16412, F4, 10) (dual of [16412, 16356, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(445, 16394, F4, 9) (dual of [16394, 16349, 10]-code) | [i] | ✔ | |
| 16 | Linear OA(447, 16403, F4, 9) (dual of [16403, 16356, 10]-code) | [i] | ✔ | |
| 17 | Linear OA(437, 16393, F4, 7) (dual of [16393, 16356, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(430, 16393, F4, 6) (dual of [16393, 16363, 7]-code) | [i] | ✔ | |
| 19 | Linear OA(444, 16400, F4, 8) (dual of [16400, 16356, 9]-code) | [i] | ✔ | |