Information on Result #619929
Linear OA(3180, 9841, F3, 31) (dual of [9841, 9661, 32]-code), using the BCH-code C(I) with length 9841 | 39−1, defining interval I = {1,1313,2625,…,−3}, and designed minimum distance d ≥ |I|+1 = 32
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 OA(3179, 9840, F3, 30) (dual of [9840, 9661, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(3180, 5114, F3, 2, 31) (dual of [(5114, 2), 10048, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3180, 5114, F3, 3, 31) (dual of [(5114, 3), 15162, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 5114, F3, 4, 31) (dual of [(5114, 4), 20276, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(3180, 5114, F3, 5, 31) (dual of [(5114, 5), 25390, 32]-NRT-code) | [i] | ||
| 6 | Digital (149, 180, 5114)-net over F3 | [i] | ||
| 7 | Linear OOA(3180, 4920, F3, 2, 31) (dual of [(4920, 2), 9660, 32]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3180, 3280, F3, 3, 31) (dual of [(3280, 3), 9660, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(3180, 2460, F3, 4, 31) (dual of [(2460, 4), 9660, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(3180, 1968, F3, 5, 31) (dual of [(1968, 5), 9660, 32]-NRT-code) | [i] | ||