Information on Result #730384
Linear OA(8139, 820, F81, 21) (dual of [820, 781, 22]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {31,32,…,51}, and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(2752, 820, S27, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8139, 642, F81, 2, 21) (dual of [(642, 2), 1245, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8139, 642, F81, 3, 21) (dual of [(642, 3), 1887, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8139, 642, F81, 4, 21) (dual of [(642, 4), 2529, 22]-NRT-code) | [i] | ||
| 5 | Digital (18, 39, 642)-net over F81 | [i] | ||
| 6 | Linear OA(8141, 822, F81, 22) (dual of [822, 781, 23]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(8143, 824, F81, 23) (dual of [824, 781, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OOA(8139, 410, F81, 2, 21) (dual of [(410, 2), 781, 22]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8139, 273, F81, 3, 21) (dual of [(273, 3), 780, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(8139, 205, F81, 4, 21) (dual of [(205, 4), 781, 22]-NRT-code) | [i] | ||