Information on Result #617083
Linear OA(2597, 15625, F25, 34) (dual of [15625, 15528, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(2597, 8311, F25, 2, 34) (dual of [(8311, 2), 16525, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (63, 97, 8311)-net over F25 | [i] | ||
| 3 | Linear OA(25100, 15628, F25, 35) (dual of [15628, 15528, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2597, 15628, F25, 34) (dual of [15628, 15531, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(25104, 15632, F25, 36) (dual of [15632, 15528, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(2598, 15632, F25, 34) (dual of [15632, 15534, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(25108, 15636, F25, 37) (dual of [15636, 15528, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2599, 15636, F25, 34) (dual of [15636, 15537, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(25100, 15640, F25, 34) (dual of [15640, 15540, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(25101, 15644, F25, 34) (dual of [15644, 15543, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(25102, 15648, F25, 34) (dual of [15648, 15546, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(25103, 15651, F25, 34) (dual of [15651, 15548, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(25104, 15653, F25, 34) (dual of [15653, 15549, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(25106, 15656, F25, 34) (dual of [15656, 15550, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(25107, 15659, F25, 34) (dual of [15659, 15552, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(25109, 15664, F25, 34) (dual of [15664, 15555, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(25110, 15668, F25, 34) (dual of [15668, 15558, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(25105, 15657, F25, 34) (dual of [15657, 15552, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(25105, 15655, F25, 34) (dual of [15655, 15550, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OOA(2597, 919, F25, 34, 34) (dual of [(919, 34), 31149, 35]-NRT-code) | [i] | OA Folding and Stacking | |