Information on Result #1190772
Digital (46, 65, 267)-net over F7, using net defined by OOA based on linear OOA(765, 267, F7, 19, 19) (dual of [(267, 19), 5008, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(765, 2404, F7, 19) (dual of [2404, 2339, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(765, 2405, F7, 19) (dual of [2405, 2340, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(765, 2401, F7, 19) (dual of [2401, 2336, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(765, 2405, F7, 19) (dual of [2405, 2340, 20]-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 (47, 66, 267)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (48, 67, 267)-net over F7 | [i] | ||