Information on Result #1190658
Digital (89, 105, 720601)-net over F7, using net defined by OOA based on linear OOA(7105, 720601, F7, 16, 16) (dual of [(720601, 16), 11529511, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(7105, 5764808, F7, 16) (dual of [5764808, 5764703, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(7105, 5764809, F7, 16) (dual of [5764809, 5764704, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(7105, 5764801, F7, 16) (dual of [5764801, 5764696, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 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(7105, 5764809, F7, 16) (dual of [5764809, 5764704, 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 (90, 106, 720601)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (91, 107, 720601)-net over F7 | [i] | ||