Information on Result #621612
Linear OA(25639, 1285, F256, 22) (dual of [1285, 1246, 23]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,78,155,…,333}, and designed minimum distance d ≥ |I|+1 = 23
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(25640, 1286, F256, 22) (dual of [1286, 1246, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(25641, 1287, F256, 22) (dual of [1287, 1246, 23]-code) | [i] | ||
| 3 | Linear OOA(25639, 1217, F256, 2, 22) (dual of [(1217, 2), 2395, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(25639, 1217, F256, 3, 22) (dual of [(1217, 3), 3612, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(25639, 1217, F256, 4, 22) (dual of [(1217, 4), 4829, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(25639, 1217, F256, 5, 22) (dual of [(1217, 5), 6046, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(25639, 1217, F256, 6, 22) (dual of [(1217, 6), 7263, 23]-NRT-code) | [i] | ||
| 8 | Digital (17, 39, 1217)-net over F256 | [i] | ||
| 9 | Linear OA(25640, 1352, F256, 22) (dual of [1352, 1312, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(25641, 1724, F256, 22) (dual of [1724, 1683, 23]-code) | [i] | ||
| 11 | Linear OOA(25639, 642, F256, 2, 22) (dual of [(642, 2), 1245, 23]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(25639, 428, F256, 3, 22) (dual of [(428, 3), 1245, 23]-NRT-code) | [i] | ||
| 13 | Linear OOA(25639, 321, F256, 4, 22) (dual of [(321, 4), 1245, 23]-NRT-code) | [i] | ||