Information on Result #693434
Linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2567, 8939, F25, 2, 23) (dual of [(8939, 2), 17811, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 67, 8939)-net over F25 | [i] | ||
| 3 | Linear OA(2570, 15628, F25, 24) (dual of [15628, 15558, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2567, 15628, F25, 23) (dual of [15628, 15561, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2575, 15633, F25, 26) (dual of [15633, 15558, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(2579, 15637, F25, 27) (dual of [15637, 15558, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(2569, 15636, F25, 23) (dual of [15636, 15567, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(2583, 15641, F25, 28) (dual of [15641, 15558, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(2587, 15645, F25, 29) (dual of [15645, 15558, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(2571, 15644, F25, 23) (dual of [15644, 15573, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(2591, 15649, F25, 30) (dual of [15649, 15558, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(2595, 15651, F25, 31) (dual of [15651, 15556, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(2596, 15654, F25, 31) (dual of [15654, 15558, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(2573, 15651, F25, 23) (dual of [15651, 15578, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(2574, 15653, F25, 23) (dual of [15653, 15579, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(25102, 15660, F25, 32) (dual of [15660, 15558, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(25106, 15664, F25, 33) (dual of [15664, 15558, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(2578, 15663, F25, 23) (dual of [15663, 15585, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(25110, 15668, F25, 34) (dual of [15668, 15558, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(2580, 15671, F25, 23) (dual of [15671, 15591, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(25101, 15657, F25, 32) (dual of [15657, 15556, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(2598, 15657, F25, 31) (dual of [15657, 15559, 32]-code) | [i] | ✔ | |
| 23 | Linear OOA(2567, 1420, F25, 23, 23) (dual of [(1420, 23), 32593, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |