Information on Result #616986
Linear OA(25101, 390625, F25, 27) (dual of [390625, 390524, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(25105, 390629, F25, 28) (dual of [390629, 390524, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(25101, 390629, F25, 27) (dual of [390629, 390528, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(25110, 390634, F25, 29) (dual of [390634, 390524, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(25103, 390635, F25, 27) (dual of [390635, 390532, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(25104, 390640, F25, 27) (dual of [390640, 390536, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(25105, 390645, F25, 27) (dual of [390645, 390540, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(25106, 390650, F25, 27) (dual of [390650, 390544, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(25108, 390654, F25, 27) (dual of [390654, 390546, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(25109, 390656, F25, 27) (dual of [390656, 390547, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(25110, 390658, F25, 27) (dual of [390658, 390548, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(25108, 390656, F25, 27) (dual of [390656, 390548, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(25109, 390661, F25, 27) (dual of [390661, 390552, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(25107, 390652, F25, 27) (dual of [390652, 390545, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OOA(25101, 30048, F25, 27, 27) (dual of [(30048, 27), 811195, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |