Information on Result #693437
Linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(2561, 8572, F25, 2, 21) (dual of [(8572, 2), 17083, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (40, 61, 8572)-net over F25 | [i] | ||
| 3 | Linear OA(2564, 15628, F25, 22) (dual of [15628, 15564, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2561, 15628, F25, 21) (dual of [15628, 15567, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(2572, 15636, F25, 24) (dual of [15636, 15564, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(2563, 15636, F25, 21) (dual of [15636, 15573, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(2577, 15641, F25, 26) (dual of [15641, 15564, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(2581, 15645, F25, 27) (dual of [15645, 15564, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2565, 15644, F25, 21) (dual of [15644, 15579, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2585, 15649, F25, 28) (dual of [15649, 15564, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(2589, 15651, F25, 29) (dual of [15651, 15562, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2590, 15654, F25, 29) (dual of [15654, 15564, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(2567, 15651, F25, 21) (dual of [15651, 15584, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(2568, 15653, F25, 21) (dual of [15653, 15585, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(2596, 15660, F25, 30) (dual of [15660, 15564, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(25100, 15664, F25, 31) (dual of [15664, 15564, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(2572, 15663, F25, 21) (dual of [15663, 15591, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(25104, 15668, F25, 32) (dual of [15668, 15564, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(25108, 15672, F25, 33) (dual of [15672, 15564, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(2595, 15657, F25, 30) (dual of [15657, 15562, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(2592, 15657, F25, 29) (dual of [15657, 15565, 30]-code) | [i] | ✔ | |
| 22 | Linear OOA(2561, 1562, F25, 21, 21) (dual of [(1562, 21), 32741, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |