Information on Result #693458
Linear OA(2519, 15625, F25, 7) (dual of [15625, 15606, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(2519, 11699, F25, 2, 7) (dual of [(11699, 2), 23379, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (12, 19, 11699)-net over F25 | [i] | ||
| 3 | Linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2519, 15628, F25, 7) (dual of [15628, 15609, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(2530, 15636, F25, 10) (dual of [15636, 15606, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(2521, 15636, F25, 7) (dual of [15636, 15615, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(2538, 15644, F25, 12) (dual of [15644, 15606, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(2546, 15651, F25, 14) (dual of [15651, 15605, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(2547, 15653, F25, 14) (dual of [15653, 15606, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(2548, 15655, F25, 14) (dual of [15655, 15607, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |