Information on Result #621607
Linear OA(25630, 1285, F256, 17) (dual of [1285, 1255, 18]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,18,35,…,273}, and designed minimum distance d ≥ |I|+1 = 18
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(25631, 1286, F256, 17) (dual of [1286, 1255, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(25630, 1134, F256, 2, 17) (dual of [(1134, 2), 2238, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25630, 1134, F256, 3, 17) (dual of [(1134, 3), 3372, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25630, 1134, F256, 4, 17) (dual of [(1134, 4), 4506, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(25630, 1134, F256, 5, 17) (dual of [(1134, 5), 5640, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(25630, 1134, F256, 6, 17) (dual of [(1134, 6), 6774, 18]-NRT-code) | [i] | ||
| 7 | Digital (13, 30, 1134)-net over F256 | [i] | ||
| 8 | Linear OA(25631, 1323, F256, 17) (dual of [1323, 1292, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(25631, 1287, F256, 17) (dual of [1287, 1256, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OOA(25630, 642, F256, 2, 17) (dual of [(642, 2), 1254, 18]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(25630, 428, F256, 3, 17) (dual of [(428, 3), 1254, 18]-NRT-code) | [i] | ||