Information on Result #621613
Linear OA(25641, 1285, F256, 23) (dual of [1285, 1244, 24]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,78,155,…,410}, and designed minimum distance d ≥ |I|+1 = 24
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(25642, 1286, F256, 23) (dual of [1286, 1244, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(25643, 1287, F256, 23) (dual of [1287, 1244, 24]-code) | [i] | ||
| 3 | Linear OOA(25641, 1285, F256, 2, 23) (dual of [(1285, 2), 2529, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(25641, 1285, F256, 3, 23) (dual of [(1285, 3), 3814, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(25641, 1285, F256, 4, 23) (dual of [(1285, 4), 5099, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(25641, 1285, F256, 5, 23) (dual of [(1285, 5), 6384, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(25641, 1285, F256, 6, 23) (dual of [(1285, 6), 7669, 24]-NRT-code) | [i] | ||
| 8 | Digital (18, 41, 1285)-net over F256 | [i] | ||
| 9 | Linear OA(25642, 1423, F256, 23) (dual of [1423, 1381, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OOA(25641, 642, F256, 2, 23) (dual of [(642, 2), 1243, 24]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(25641, 428, F256, 3, 23) (dual of [(428, 3), 1243, 24]-NRT-code) | [i] | ||