Information on Result #1185470
Digital (200, 228, 37964)-net over F3, using net defined by OOA based on linear OOA(3228, 37964, F3, 28, 28) (dual of [(37964, 28), 1062764, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(3228, 531496, F3, 28) (dual of [531496, 531268, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (201, 229, 37964)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (202, 230, 37964)-net over F3 | [i] | ||
| 3 | Digital (203, 231, 37964)-net over F3 | [i] | ||