Information on Result #1190272
Digital (43, 55, 2805)-net over F7, using net defined by OOA based on linear OOA(755, 2805, F7, 12, 12) (dual of [(2805, 12), 33605, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(755, 16830, F7, 12) (dual of [16830, 16775, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(755, 16831, F7, 12) (dual of [16831, 16776, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(74, 24, F7, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,7)), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(755, 16831, F7, 12) (dual of [16831, 16776, 13]-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 (44, 56, 2805)-net over F7 | [i] | Net Duplication | |