Information on Result #1190644
Digital (76, 92, 102943)-net over F7, using net defined by OOA based on linear OOA(792, 102943, F7, 16, 16) (dual of [(102943, 16), 1646996, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(792, 823544, F7, 16) (dual of [823544, 823452, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-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 (77, 93, 102943)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (84, 100, 102951)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (85, 101, 102956)-net over F7 | [i] | ||
| 4 | Digital (87, 103, 102957)-net over F7 | [i] | ||
| 5 | Digital (88, 104, 102959)-net over F7 | [i] | ||