Information on Result #619933
Linear OA(3216, 9841, F3, 37) (dual of [9841, 9625, 38]-code), using the BCH-code C(I) with length 9841 | 39−1, defining interval I = {1,782,1563,…,−1406}, and designed minimum distance d ≥ |I|+1 = 38
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(3215, 9840, F3, 36) (dual of [9840, 9625, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(3216, 5897, F3, 2, 37) (dual of [(5897, 2), 11578, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3216, 5897, F3, 3, 37) (dual of [(5897, 3), 17475, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(3216, 5897, F3, 4, 37) (dual of [(5897, 4), 23372, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(3216, 5897, F3, 5, 37) (dual of [(5897, 5), 29269, 38]-NRT-code) | [i] | ||
| 6 | Digital (179, 216, 5897)-net over F3 | [i] | ||
| 7 | Linear OOA(3216, 4920, F3, 2, 37) (dual of [(4920, 2), 9624, 38]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3216, 3280, F3, 3, 37) (dual of [(3280, 3), 9624, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(3216, 2460, F3, 4, 37) (dual of [(2460, 4), 9624, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(3216, 1968, F3, 5, 37) (dual of [(1968, 5), 9624, 38]-NRT-code) | [i] | ||