Information on Result #1184048
Digital (75, 90, 2811)-net over F3, using net defined by OOA based on linear OOA(390, 2811, F3, 15, 15) (dual of [(2811, 15), 42075, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(390, 19678, F3, 15) (dual of [19678, 19588, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(390, 19682, F3, 15) (dual of [19682, 19592, 16]-code), using
- 1 times truncation [i] based on linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(390, 19682, F3, 15) (dual of [19682, 19592, 16]-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 (83, 98, 2818)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (84, 99, 2820)-net over F3 | [i] | ||