Information on Result #1215704
Digital (139, 160, 838888)-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 (124, 145, 838860)-net over F8, using
- net defined by OOA [i] based on linear OOA(8145, 838860, F8, 21, 21) (dual of [(838860, 21), 17615915, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8145, 8388601, F8, 21) (dual of [8388601, 8388456, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8145, 8388601, F8, 21) (dual of [8388601, 8388456, 22]-code), using
- net defined by OOA [i] based on linear OOA(8145, 838860, F8, 21, 21) (dual of [(838860, 21), 17615915, 22]-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 (140, 161, 838888)-net over F8 | [i] | Net Duplication | |