Information on Result #1185486
Digital (143, 172, 1406)-net over F3, using net defined by OOA based on linear OOA(3172, 1406, F3, 29, 29) (dual of [(1406, 29), 40602, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(3172, 19685, F3, 29) (dual of [19685, 19513, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3172, 19692, F3, 29) (dual of [19692, 19520, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3172, 19692, F3, 29) (dual of [19692, 19520, 30]-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 (144, 173, 1406)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (145, 174, 1406)-net over F3 | [i] | ||
| 3 | Digital (146, 175, 1406)-net over F3 | [i] | ||