Information on Result #1190404
Digital (65, 78, 137258)-net over F7, using net defined by OOA based on linear OOA(778, 137258, F7, 13, 13) (dual of [(137258, 13), 1784276, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(778, 823549, F7, 13) (dual of [823549, 823471, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(778, 823550, F7, 13) (dual of [823550, 823472, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(771, 823543, F7, 12) (dual of [823543, 823472, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(778, 823550, F7, 13) (dual of [823550, 823472, 14]-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 (71, 84, 137266)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (72, 85, 137271)-net over F7 | [i] | ||
| 3 | Digital (74, 87, 137274)-net over F7 | [i] | ||
| 4 | Digital (75, 88, 137279)-net over F7 | [i] | ||