Information on Result #616968
Linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(2596, 390624, F25, 25) (dual of [390624, 390528, 26]-code) | [i] | Truncation | |
| 2 | Linear OA(25110, 390651, F25, 26) (dual of [390651, 390541, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25101, 390629, F25, 27) (dual of [390629, 390528, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2598, 390630, F25, 26) (dual of [390630, 390532, 27]-code) | [i] | ✔ | |
| 5 | Linear OA(25106, 390634, F25, 28) (dual of [390634, 390528, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(2599, 390635, F25, 26) (dual of [390635, 390536, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(25100, 390640, F25, 26) (dual of [390640, 390540, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(25101, 390645, F25, 26) (dual of [390645, 390544, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(25102, 390650, F25, 26) (dual of [390650, 390548, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(25104, 390654, F25, 26) (dual of [390654, 390550, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(25105, 390656, F25, 26) (dual of [390656, 390551, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(25106, 390658, F25, 26) (dual of [390658, 390552, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(25107, 390663, F25, 26) (dual of [390663, 390556, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(25108, 390668, F25, 26) (dual of [390668, 390560, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(25109, 390673, F25, 26) (dual of [390673, 390564, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(25110, 390677, F25, 26) (dual of [390677, 390567, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(25104, 390656, F25, 26) (dual of [390656, 390552, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(25105, 390661, F25, 26) (dual of [390661, 390556, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(25103, 390652, F25, 26) (dual of [390652, 390549, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OOA(2597, 195312, F25, 2, 26) (dual of [(195312, 2), 390527, 27]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2597, 30048, F25, 26, 26) (dual of [(30048, 26), 781151, 27]-NRT-code) | [i] | OA Folding and Stacking | |