Information on Result #616719
Linear OA(2516, 15625, F25, 6) (dual of [15625, 15609, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, 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(2519, 15651, F25, 6) (dual of [15651, 15632, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2520, 16251, F25, 6) (dual of [16251, 16231, 7]-code) | [i] | ||
| 3 | Linear OA(2519, 15628, F25, 7) (dual of [15628, 15609, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2516, 15628, F25, 6) (dual of [15628, 15612, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(2523, 15632, F25, 8) (dual of [15632, 15609, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(2517, 15632, F25, 6) (dual of [15632, 15615, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(2527, 15636, F25, 9) (dual of [15636, 15609, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(2518, 15636, F25, 6) (dual of [15636, 15618, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(2531, 15640, F25, 10) (dual of [15640, 15609, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(2535, 15644, F25, 11) (dual of [15644, 15609, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(2539, 15648, F25, 12) (dual of [15648, 15609, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2548, 15655, F25, 14) (dual of [15655, 15607, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(2517, 15633, F25, 6) (dual of [15633, 15616, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |