Information on Result #1209967
Digital (95, 104, large)-net over F4, using (u, u+v)-construction based on
- digital (0, 4, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (91, 100, 8388600)-net over F4, using
- trace code for nets [i] based on digital (41, 50, 4194300)-net over F16, using
- net defined by OOA [i] based on linear OOA(1650, 4194300, F16, 10, 9) (dual of [(4194300, 10), 41942950, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1650, 8388601, F16, 2, 9) (dual of [(8388601, 2), 16777152, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1650, 8388602, F16, 2, 9) (dual of [(8388602, 2), 16777154, 10]-NRT-code), using
- trace code [i] based on linear OOA(25625, 4194301, F256, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25625, 8388602, F256, 9) (dual of [8388602, 8388577, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- OOA 2-folding [i] based on linear OA(25625, 8388602, F256, 9) (dual of [8388602, 8388577, 10]-code), using
- trace code [i] based on linear OOA(25625, 4194301, F256, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1650, 8388602, F16, 2, 9) (dual of [(8388602, 2), 16777154, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1650, 8388601, F16, 2, 9) (dual of [(8388601, 2), 16777152, 10]-NRT-code), using
- net defined by OOA [i] based on linear OOA(1650, 4194300, F16, 10, 9) (dual of [(4194300, 10), 41942950, 10]-NRT-code), using
- trace code for nets [i] based on digital (41, 50, 4194300)-net over F16, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (96, 105, large)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (97, 106, large)-net over F4 | [i] | ||
| 3 | Digital (98, 107, large)-net over F4 | [i] | ||
| 4 | Digital (99, 108, large)-net over F4 | [i] | ||
| 5 | Digital (100, 109, large)-net over F4 | [i] | ||
| 6 | Digital (101, 110, large)-net over F4 | [i] | ||
| 7 | Digital (102, 111, large)-net over F4 | [i] | ||
| 8 | Digital (103, 112, large)-net over F4 | [i] | ||
| 9 | Digital (104, 113, large)-net over F4 | [i] | ||
| 10 | Digital (105, 114, large)-net over F4 | [i] | ||
| 11 | Digital (106, 115, large)-net over F4 | [i] | ||
| 12 | Digital (95, 103, large)-net over F4 | [i] | m-Reduction | |
| 13 | Digital (95, 102, large)-net over F4 | [i] | ||
| 14 | Digital (95, 101, large)-net over F4 | [i] | ||
| 15 | Digital (95, 100, large)-net over F4 | [i] | ||
| 16 | Digital (95, 99, large)-net over F4 | [i] | ||
| 17 | Digital (95, 98, large)-net over F4 | [i] | ||