Information on Result #991360
Linear OOA(8139, 2187, F81, 3, 20) (dual of [(2187, 3), 6522, 21]-NRT-code), using OOA 3-folding based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
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 OOA(8149, 2269, F81, 3, 20) (dual of [(2269, 3), 6758, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8150, 2287, F81, 3, 20) (dual of [(2287, 3), 6811, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(8151, 2303, F81, 3, 20) (dual of [(2303, 3), 6858, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(8153, 2337, F81, 3, 20) (dual of [(2337, 3), 6958, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(8154, 2351, F81, 3, 20) (dual of [(2351, 3), 6999, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(8155, 2369, F81, 3, 20) (dual of [(2369, 3), 7052, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(8156, 2387, F81, 3, 20) (dual of [(2387, 3), 7105, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(8139, 1666, F81, 4, 20) (dual of [(1666, 4), 6625, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Digital (19, 39, 1666)-net over F81 | [i] | ||