Information on Result #621423
Linear OA(8138, 1312, F81, 20) (dual of [1312, 1274, 21]-code), using the BCH-code C(I) with length 1312 | 812−1, defining interval I = {1,6,11,…,96}, and designed minimum distance d ≥ |I|+1 = 21
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 | OA(2751, 1312, S27, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8138, 783, F81, 2, 20) (dual of [(783, 2), 1528, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8138, 783, F81, 3, 20) (dual of [(783, 3), 2311, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(8138, 783, F81, 4, 20) (dual of [(783, 4), 3094, 21]-NRT-code) | [i] | ||
| 5 | Digital (18, 38, 783)-net over F81 | [i] | ||
| 6 | Linear OOA(8138, 656, F81, 2, 20) (dual of [(656, 2), 1274, 21]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8138, 437, F81, 3, 20) (dual of [(437, 3), 1273, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(8138, 328, F81, 4, 20) (dual of [(328, 4), 1274, 21]-NRT-code) | [i] | ||