Information on Result #616903
Linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(2575, 15651, F25, 22) (dual of [15651, 15576, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2576, 15654, F25, 22) (dual of [15654, 15578, 23]-code) | [i] | ||
| 3 | Linear OA(2577, 15656, F25, 22) (dual of [15656, 15579, 23]-code) | [i] | ||
| 4 | Linear OA(2578, 15677, F25, 22) (dual of [15677, 15599, 23]-code) | [i] | ||
| 5 | Linear OA(2579, 15691, F25, 22) (dual of [15691, 15612, 23]-code) | [i] | ||
| 6 | Linear OA(2580, 15693, F25, 22) (dual of [15693, 15613, 23]-code) | [i] | ||
| 7 | Linear OA(2581, 15695, F25, 22) (dual of [15695, 15614, 23]-code) | [i] | ||
| 8 | Linear OA(2582, 15697, F25, 22) (dual of [15697, 15615, 23]-code) | [i] | ||
| 9 | Linear OA(2583, 15729, F25, 22) (dual of [15729, 15646, 23]-code) | [i] | ||
| 10 | Linear OA(2584, 15833, F25, 22) (dual of [15833, 15749, 23]-code) | [i] | ||
| 11 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(2583, 15645, F25, 22) (dual of [15645, 15562, 23]-code) | [i] | ||
| 13 | Linear OA(2581, 15643, F25, 22) (dual of [15643, 15562, 23]-code) | [i] | ||
| 14 | Linear OA(2583, 15646, F25, 22) (dual of [15646, 15563, 23]-code) | [i] | ||
| 15 | Linear OA(2584, 15649, F25, 22) (dual of [15649, 15565, 23]-code) | [i] | ||
| 16 | Linear OOA(2564, 8752, F25, 2, 22) (dual of [(8752, 2), 17440, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Digital (42, 64, 8752)-net over F25 | [i] | ||
| 18 | Linear OA(2579, 15641, F25, 22) (dual of [15641, 15562, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(2580, 15643, F25, 22) (dual of [15643, 15563, 23]-code) | [i] | ||
| 20 | Linear OA(2581, 15645, F25, 22) (dual of [15645, 15564, 23]-code) | [i] | ||
| 21 | Linear OA(2582, 15677, F25, 22) (dual of [15677, 15595, 23]-code) | [i] | ||
| 22 | Linear OA(2583, 15680, F25, 22) (dual of [15680, 15597, 23]-code) | [i] | ||
| 23 | Linear OA(2584, 15683, F25, 22) (dual of [15683, 15599, 23]-code) | [i] | ||
| 24 | Linear OA(2567, 15628, F25, 23) (dual of [15628, 15561, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(2564, 15628, F25, 22) (dual of [15628, 15564, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(2571, 15632, F25, 24) (dual of [15632, 15561, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(2565, 15632, F25, 22) (dual of [15632, 15567, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(2576, 15637, F25, 26) (dual of [15637, 15561, 27]-code) | [i] | ✔ | |
| 29 | Linear OA(2566, 15636, F25, 22) (dual of [15636, 15570, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(2580, 15641, F25, 27) (dual of [15641, 15561, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(2567, 15640, F25, 22) (dual of [15640, 15573, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(2584, 15645, F25, 28) (dual of [15645, 15561, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(2568, 15644, F25, 22) (dual of [15644, 15576, 23]-code) | [i] | ✔ | |
| 34 | Linear OA(2588, 15649, F25, 29) (dual of [15649, 15561, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(2569, 15648, F25, 22) (dual of [15648, 15579, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(2592, 15651, F25, 30) (dual of [15651, 15559, 31]-code) | [i] | ✔ | |
| 37 | Linear OA(2593, 15654, F25, 30) (dual of [15654, 15561, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(2570, 15651, F25, 22) (dual of [15651, 15581, 23]-code) | [i] | ✔ | |
| 39 | Linear OA(2571, 15653, F25, 22) (dual of [15653, 15582, 23]-code) | [i] | ✔ | |
| 40 | Linear OA(2599, 15660, F25, 31) (dual of [15660, 15561, 32]-code) | [i] | ✔ | |
| 41 | Linear OA(2573, 15656, F25, 22) (dual of [15656, 15583, 23]-code) | [i] | ✔ | |
| 42 | Linear OA(2574, 15659, F25, 22) (dual of [15659, 15585, 23]-code) | [i] | ✔ | |
| 43 | Linear OA(25103, 15664, F25, 32) (dual of [15664, 15561, 33]-code) | [i] | ✔ | |
| 44 | Linear OA(2575, 15663, F25, 22) (dual of [15663, 15588, 23]-code) | [i] | ✔ | |
| 45 | Linear OA(25107, 15668, F25, 33) (dual of [15668, 15561, 34]-code) | [i] | ✔ | |
| 46 | Linear OA(2576, 15667, F25, 22) (dual of [15667, 15591, 23]-code) | [i] | ✔ | |
| 47 | Linear OA(2577, 15671, F25, 22) (dual of [15671, 15594, 23]-code) | [i] | ✔ | |
| 48 | Linear OA(2598, 15657, F25, 31) (dual of [15657, 15559, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 49 | Linear OA(2595, 15657, F25, 30) (dual of [15657, 15562, 31]-code) | [i] | ✔ | |
| 50 | Linear OA(2572, 15655, F25, 22) (dual of [15655, 15583, 23]-code) | [i] | ✔ | |
| 51 | Linear OOA(2564, 1420, F25, 22, 22) (dual of [(1420, 22), 31176, 23]-NRT-code) | [i] | OA Folding and Stacking | |