Information on Result #621616
Linear OA(25646, 1285, F256, 26) (dual of [1285, 1239, 27]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,114,227,…,256}, and designed minimum distance d ≥ |I|+1 = 27
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(25647, 1286, F256, 26) (dual of [1286, 1239, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(25648, 1287, F256, 26) (dual of [1287, 1239, 27]-code) | [i] | ||
| 3 | Linear OA(25649, 1288, F256, 26) (dual of [1288, 1239, 27]-code) | [i] | ||
| 4 | Linear OOA(25646, 1249, F256, 2, 26) (dual of [(1249, 2), 2452, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(25646, 1249, F256, 3, 26) (dual of [(1249, 3), 3701, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(25646, 1249, F256, 4, 26) (dual of [(1249, 4), 4950, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(25646, 1249, F256, 5, 26) (dual of [(1249, 5), 6199, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(25646, 1249, F256, 6, 26) (dual of [(1249, 6), 7448, 27]-NRT-code) | [i] | ||
| 9 | Digital (20, 46, 1249)-net over F256 | [i] | ||
| 10 | Linear OA(25647, 1369, F256, 26) (dual of [1369, 1322, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OOA(25646, 642, F256, 2, 26) (dual of [(642, 2), 1238, 27]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(25646, 428, F256, 3, 26) (dual of [(428, 3), 1238, 27]-NRT-code) | [i] | ||
| 13 | Linear OOA(25646, 321, F256, 4, 26) (dual of [(321, 4), 1238, 27]-NRT-code) | [i] | ||