Information on Result #2266594
Linear OA(3226, 19746, F3, 35) (dual of [19746, 19520, 36]-code), using 3 times code embedding in larger space based on linear OA(3223, 19743, F3, 35) (dual of [19743, 19520, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(27) [i] based on
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3226, 11756, F3, 2, 35) (dual of [(11756, 2), 23286, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3226, 11756, F3, 3, 35) (dual of [(11756, 3), 35042, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 11756, F3, 4, 35) (dual of [(11756, 4), 46798, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 11756, F3, 5, 35) (dual of [(11756, 5), 58554, 36]-NRT-code) | [i] | ||
| 5 | Digital (191, 226, 11756)-net over F3 | [i] | ||