Information on Result #619958
Linear OA(3126, 1093, F3, 28) (dual of [1093, 967, 29]-code), using the BCH-code C(I) with length 1093 | 37−1, defining interval I = {1,57,113,…,420}, 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(3125, 1092, F3, 27) (dual of [1092, 967, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(3126, 1014, F3, 2, 28) (dual of [(1014, 2), 1902, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3126, 1014, F3, 3, 28) (dual of [(1014, 3), 2916, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3126, 1014, F3, 4, 28) (dual of [(1014, 4), 3930, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3126, 1014, F3, 5, 28) (dual of [(1014, 5), 4944, 29]-NRT-code) | [i] | ||
| 6 | Digital (98, 126, 1014)-net over F3 | [i] | ||
| 7 | Linear OOA(3126, 546, F3, 2, 28) (dual of [(546, 2), 966, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3126, 364, F3, 3, 28) (dual of [(364, 3), 966, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3126, 273, F3, 4, 28) (dual of [(273, 4), 966, 29]-NRT-code) | [i] | ||