Information on Result #617121
Linear OA(25106, 15625, F25, 37) (dual of [15625, 15519, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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 OOA(25106, 9037, F25, 2, 37) (dual of [(9037, 2), 17968, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (69, 106, 9037)-net over F25 | [i] | ||
| 3 | Linear OA(25109, 15628, F25, 38) (dual of [15628, 15519, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(25106, 15628, F25, 37) (dual of [15628, 15522, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(25107, 15632, F25, 37) (dual of [15632, 15525, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(25108, 15636, F25, 37) (dual of [15636, 15528, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(25109, 15640, F25, 37) (dual of [15640, 15531, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(25110, 15644, F25, 37) (dual of [15644, 15534, 38]-code) | [i] | ✔ | |
| 9 | Linear OOA(25106, 868, F25, 37, 37) (dual of [(868, 37), 32010, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |