Information on Result #1227703
Digital (34, 48, 76020)-net over F81, using (u, u+v)-construction based on
- digital (1, 8, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- digital (26, 40, 75920)-net over F81, using
- net defined by OOA [i] based on linear OOA(8140, 75920, F81, 14, 14) (dual of [(75920, 14), 1062840, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8140, 531440, F81, 14) (dual of [531440, 531400, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(8140, 531440, F81, 14) (dual of [531440, 531400, 15]-code), using
- net defined by OOA [i] based on linear OOA(8140, 75920, F81, 14, 14) (dual of [(75920, 14), 1062840, 15]-NRT-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 | (50, 64, 76020)-net in base 27 | [i] | Base Change | |