Information on Result #1185096
Digital (134, 157, 5371)-net over F3, using net defined by OOA based on linear OOA(3157, 5371, F3, 23, 23) (dual of [(5371, 23), 123376, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(3157, 59082, F3, 23) (dual of [59082, 58925, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3157, 59085, F3, 23) (dual of [59085, 58928, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(3151, 59049, F3, 23) (dual of [59049, 58898, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3157, 59085, F3, 23) (dual of [59085, 58928, 24]-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 (135, 158, 5371)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (136, 159, 5371)-net over F3 | [i] | ||
| 3 | Digital (137, 160, 5371)-net over F3 | [i] | ||
| 4 | Digital (138, 161, 5371)-net over F3 | [i] | ||