Information on Result #1215392
Digital (98, 113, 1198385)-net over F8, using (u, u+v)-construction based on
- digital (1, 8, 14)-net over F8, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- digital (90, 105, 1198371)-net over F8, using
- net defined by OOA [i] based on linear OOA(8105, 1198371, F8, 15, 15) (dual of [(1198371, 15), 17975460, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8105, 8388598, F8, 15) (dual of [8388598, 8388493, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8105, 8388598, F8, 15) (dual of [8388598, 8388493, 16]-code), using
- net defined by OOA [i] based on linear OOA(8105, 1198371, F8, 15, 15) (dual of [(1198371, 15), 17975460, 16]-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 (147, 162, 2396770)-net over F8 | [i] | (u, u+v)-Construction for Nets | |