Information on Result #1190944
Digital (81, 105, 1402)-net over F7, using net defined by OOA based on linear OOA(7105, 1402, F7, 24, 24) (dual of [(1402, 24), 33543, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(7105, 16824, F7, 24) (dual of [16824, 16719, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(7105, 16826, F7, 24) (dual of [16826, 16721, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- linear OA(7101, 16807, F7, 24) (dual of [16807, 16706, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,7)), using
- construction X applied to Ce(23) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(7105, 16826, F7, 24) (dual of [16826, 16721, 25]-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 (82, 106, 1402)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (83, 107, 1402)-net over F7 | [i] | ||