Information on Result #621419
Linear OA(8181, 1640, F81, 42) (dual of [1640, 1559, 43]-code), using the BCH-code C(I) with length 1640 | 812−1, defining interval I = {1,40,79,…,1600}, and designed minimum distance d ≥ |I|+1 = 43
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(27108, 1640, S27, 42) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8181, 1275, F81, 2, 42) (dual of [(1275, 2), 2469, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8181, 1275, F81, 3, 42) (dual of [(1275, 3), 3744, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(8181, 1275, F81, 4, 42) (dual of [(1275, 4), 5019, 43]-NRT-code) | [i] | ||
| 5 | Digital (39, 81, 1275)-net over F81 | [i] | ||
| 6 | Linear OOA(8181, 820, F81, 2, 42) (dual of [(820, 2), 1559, 43]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8181, 546, F81, 3, 42) (dual of [(546, 3), 1557, 43]-NRT-code) | [i] | ||
| 8 | Linear OOA(8181, 410, F81, 4, 42) (dual of [(410, 4), 1559, 43]-NRT-code) | [i] | ||