Information on Result #991408
Linear OOA(8141, 2187, F81, 3, 21) (dual of [(2187, 3), 6520, 22]-NRT-code), using OOA 3-folding based on linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(8151, 2269, F81, 3, 21) (dual of [(2269, 3), 6756, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8152, 2287, F81, 3, 21) (dual of [(2287, 3), 6809, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(8153, 2303, F81, 3, 21) (dual of [(2303, 3), 6856, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8155, 2337, F81, 3, 21) (dual of [(2337, 3), 6956, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(8156, 2351, F81, 3, 21) (dual of [(2351, 3), 6997, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(8157, 2369, F81, 3, 21) (dual of [(2369, 3), 7050, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(8158, 2387, F81, 3, 21) (dual of [(2387, 3), 7103, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(8159, 2403, F81, 3, 21) (dual of [(2403, 3), 7150, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(8159, 2433, F81, 3, 21) (dual of [(2433, 3), 7240, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(8141, 1648, F81, 4, 21) (dual of [(1648, 4), 6551, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 11 | Digital (20, 41, 1648)-net over F81 | [i] | ||