Information on Result #621602
Linear OA(25621, 1285, F256, 12) (dual of [1285, 1264, 13]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,155,309,…,410}, and designed minimum distance d ≥ |I|+1 = 13
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(25622, 1286, F256, 12) (dual of [1286, 1264, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(25668, 66821, F256, 24) (dual of [66821, 66753, 25]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(25668, 66823, F256, 24) (dual of [66823, 66755, 25]-code) | [i] | ||
| 4 | Linear OOA(25621, 1160, F256, 2, 12) (dual of [(1160, 2), 2299, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(25621, 1160, F256, 3, 12) (dual of [(1160, 3), 3459, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(25621, 1160, F256, 4, 12) (dual of [(1160, 4), 4619, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(25621, 1160, F256, 5, 12) (dual of [(1160, 5), 5779, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(25621, 1160, F256, 6, 12) (dual of [(1160, 6), 6939, 13]-NRT-code) | [i] | ||
| 9 | Digital (9, 21, 1160)-net over F256 | [i] | ||
| 10 | Linear OA(25622, 1359, F256, 12) (dual of [1359, 1337, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(25622, 1287, F256, 12) (dual of [1287, 1265, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OOA(25621, 642, F256, 2, 12) (dual of [(642, 2), 1263, 13]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(25621, 428, F256, 3, 12) (dual of [(428, 3), 1263, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(25621, 321, F256, 4, 12) (dual of [(321, 4), 1263, 13]-NRT-code) | [i] | ||