Information on Result #2266848
Linear OA(3250, 19734, F3, 40) (dual of [19734, 19484, 41]-code), using 4 times code embedding in larger space based on linear OA(3246, 19730, F3, 40) (dual of [19730, 19484, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(33) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
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(3250, 10014, F3, 2, 40) (dual of [(10014, 2), 19778, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3250, 10014, F3, 3, 40) (dual of [(10014, 3), 29792, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 10014, F3, 4, 40) (dual of [(10014, 4), 39806, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 10014, F3, 5, 40) (dual of [(10014, 5), 49820, 41]-NRT-code) | [i] | ||
| 5 | Digital (210, 250, 10014)-net over F3 | [i] | ||