Information on Result #619940
Linear OA(3144, 3281, F3, 28) (dual of [3281, 3137, 29]-code), using the BCH-code C(I) with length 3281 | 316−1, defining interval I = {−27,−25,−23,…,27}, and designed minimum distance d ≥ |I|+1 = 29
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(3143, 3280, F3, 27) (dual of [3280, 3137, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(3144, 2196, F3, 2, 28) (dual of [(2196, 2), 4248, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3144, 2196, F3, 3, 28) (dual of [(2196, 3), 6444, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3144, 2196, F3, 4, 28) (dual of [(2196, 4), 8640, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3144, 2196, F3, 5, 28) (dual of [(2196, 5), 10836, 29]-NRT-code) | [i] | ||
| 6 | Digital (116, 144, 2196)-net over F3 | [i] | ||
| 7 | Linear OOA(3144, 1640, F3, 2, 28) (dual of [(1640, 2), 3136, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3144, 1093, F3, 3, 28) (dual of [(1093, 3), 3135, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3144, 820, F3, 4, 28) (dual of [(820, 4), 3136, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(3144, 656, F3, 5, 28) (dual of [(656, 5), 3136, 29]-NRT-code) | [i] | ||