Information on Result #1185442
Digital (157, 185, 4219)-net over F3, using net defined by OOA based on linear OOA(3185, 4219, F3, 28, 28) (dual of [(4219, 28), 117947, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(3185, 59066, F3, 28) (dual of [59066, 58881, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3185, 59073, F3, 28) (dual of [59073, 58888, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3185, 59073, F3, 28) (dual of [59073, 58888, 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 (158, 186, 4219)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (159, 187, 4219)-net over F3 | [i] | ||
| 3 | Digital (160, 188, 4219)-net over F3 | [i] | ||