Information on Result #693461
Linear OA(2513, 15625, F25, 5) (dual of [15625, 15612, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(2516, 15628, F25, 6) (dual of [15628, 15612, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2513, 15628, F25, 5) (dual of [15628, 15615, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(2524, 15636, F25, 8) (dual of [15636, 15612, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(2532, 15644, F25, 10) (dual of [15644, 15612, 11]-code) | [i] | ✔ | |