Information on Result #1843824
(70, 90, 839010)-net in base 64, using (u, u+v)-construction based on
- (3, 13, 150)-net in base 64, using
- 1 times m-reduction [i] based on (3, 14, 150)-net in base 64, using
- base change [i] based on digital (1, 12, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- base change [i] based on digital (1, 12, 150)-net over F128, using
- 1 times m-reduction [i] based on (3, 14, 150)-net in base 64, using
- digital (57, 77, 838860)-net over F64, using
- net defined by OOA [i] based on linear OOA(6477, 838860, F64, 20, 20) (dual of [(838860, 20), 16777123, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(6477, 8388600, F64, 20) (dual of [8388600, 8388523, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(6477, 8388600, F64, 20) (dual of [8388600, 8388523, 21]-code), using
- net defined by OOA [i] based on linear OOA(6477, 838860, F64, 20, 20) (dual of [(838860, 20), 16777123, 21]-NRT-code), using
Mode: Constructive.
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 | (88, 108, 839010)-net in base 32 | [i] | Base Change | |