Information on Result #616944
Linear OA(2593, 390625, F25, 24) (dual of [390625, 390532, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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, 390651, F25, 24) (dual of [390651, 390546, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25106, 390654, F25, 24) (dual of [390654, 390548, 25]-code) | [i] | ||
| 3 | Linear OA(25107, 390656, F25, 24) (dual of [390656, 390549, 25]-code) | [i] | ||
| 4 | Linear OA(25108, 390677, F25, 24) (dual of [390677, 390569, 25]-code) | [i] | ||
| 5 | Linear OA(25109, 390691, F25, 24) (dual of [390691, 390582, 25]-code) | [i] | ||
| 6 | Linear OA(25110, 390693, F25, 24) (dual of [390693, 390583, 25]-code) | [i] | ||
| 7 | Linear OOA(2593, 264579, F25, 2, 24) (dual of [(264579, 2), 529065, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (69, 93, 264579)-net over F25 | [i] | ||
| 9 | Linear OA(25110, 390643, F25, 24) (dual of [390643, 390533, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(2598, 390630, F25, 26) (dual of [390630, 390532, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(25103, 390635, F25, 27) (dual of [390635, 390532, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(2594, 390634, F25, 24) (dual of [390634, 390540, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(25108, 390640, F25, 28) (dual of [390640, 390532, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(2595, 390639, F25, 24) (dual of [390639, 390544, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(2596, 390644, F25, 24) (dual of [390644, 390548, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(2597, 390649, F25, 24) (dual of [390649, 390552, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(2598, 390651, F25, 24) (dual of [390651, 390553, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(2599, 390654, F25, 24) (dual of [390654, 390555, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(25100, 390656, F25, 24) (dual of [390656, 390556, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(25102, 390662, F25, 24) (dual of [390662, 390560, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(25103, 390667, F25, 24) (dual of [390667, 390564, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(25104, 390672, F25, 24) (dual of [390672, 390568, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(25105, 390677, F25, 24) (dual of [390677, 390572, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(25107, 390683, F25, 24) (dual of [390683, 390576, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(25108, 390688, F25, 24) (dual of [390688, 390580, 25]-code) | [i] | ✔ | |
| 27 | Linear OOA(2593, 32552, F25, 24, 24) (dual of [(32552, 24), 781155, 25]-NRT-code) | [i] | OA Folding and Stacking | |