Information on Result #1215665
Digital (149, 169, 1677748)-net over F8, using (u, u+v)-construction based on
- digital (5, 15, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- digital (134, 154, 1677720)-net over F8, using
- net defined by OOA [i] based on linear OOA(8154, 1677720, F8, 22, 20) (dual of [(1677720, 22), 36909686, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8154, 8388601, F8, 2, 20) (dual of [(8388601, 2), 16777048, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-NRT-code), using
- trace code [i] based on linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 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
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- trace code [i] based on linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8154, 8388602, F8, 2, 20) (dual of [(8388602, 2), 16777050, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8154, 8388601, F8, 2, 20) (dual of [(8388601, 2), 16777048, 21]-NRT-code), using
- net defined by OOA [i] based on linear OOA(8154, 1677720, F8, 22, 20) (dual of [(1677720, 22), 36909686, 21]-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 | Digital (150, 170, 1677748)-net over F8 | [i] | Net Duplication | |