Information on Result #991726
Linear OOA(8157, 2187, F81, 3, 29) (dual of [(2187, 3), 6504, 30]-NRT-code), using OOA 3-folding based on linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(8171, 2269, F81, 3, 29) (dual of [(2269, 3), 6736, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8172, 2287, F81, 3, 29) (dual of [(2287, 3), 6789, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(8173, 2303, F81, 3, 29) (dual of [(2303, 3), 6836, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(8175, 2337, F81, 3, 29) (dual of [(2337, 3), 6936, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(8176, 2347, F81, 3, 29) (dual of [(2347, 3), 6965, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(8178, 2359, F81, 3, 29) (dual of [(2359, 3), 6999, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(8179, 2369, F81, 3, 29) (dual of [(2369, 3), 7028, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(8180, 2387, F81, 3, 29) (dual of [(2387, 3), 7081, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(8181, 2403, F81, 3, 29) (dual of [(2403, 3), 7128, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(8182, 2419, F81, 3, 29) (dual of [(2419, 3), 7175, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(8182, 2433, F81, 3, 29) (dual of [(2433, 3), 7217, 30]-NRT-code) | [i] | ||
| 12 | Linear OOA(8157, 1674, F81, 4, 29) (dual of [(1674, 4), 6639, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 13 | Digital (28, 57, 1674)-net over F81 | [i] | ||