Information on Result #813791
Linear OOA(3126, 9841, F3, 2, 21) (dual of [(9841, 2), 19556, 22]-NRT-code), using OOA 2-folding based on linear OA(3126, 19682, F3, 21) (dual of [19682, 19556, 22]-code), using
- 1 times truncation [i] based on linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(3126, 7293, F3, 3, 21) (dual of [(7293, 3), 21753, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3126, 7293, F3, 4, 21) (dual of [(7293, 4), 29046, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3126, 7293, F3, 5, 21) (dual of [(7293, 5), 36339, 22]-NRT-code) | [i] | ||
| 4 | Digital (105, 126, 7293)-net over F3 | [i] | ||