Information on Result #991755
Linear OOA(8159, 2187, F81, 3, 30) (dual of [(2187, 3), 6502, 31]-NRT-code), using OOA 3-folding based on linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8174, 2269, F81, 3, 30) (dual of [(2269, 3), 6733, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8175, 2287, F81, 3, 30) (dual of [(2287, 3), 6786, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(8176, 2303, F81, 3, 30) (dual of [(2303, 3), 6833, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(8178, 2337, F81, 3, 30) (dual of [(2337, 3), 6933, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(8179, 2347, F81, 3, 30) (dual of [(2347, 3), 6962, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(8181, 2359, F81, 3, 30) (dual of [(2359, 3), 6996, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(8182, 2369, F81, 3, 30) (dual of [(2369, 3), 7025, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(8159, 1689, F81, 4, 30) (dual of [(1689, 4), 6697, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 9 | Digital (29, 59, 1689)-net over F81 | [i] | ||