Information on Result #1192260
Digital (127, 146, 1864133)-net over F8, using net defined by OOA based on linear OOA(8146, 1864133, F8, 21, 19) (dual of [(1864133, 21), 39146647, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8146, 5592400, F8, 3, 19) (dual of [(5592400, 3), 16777054, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8146, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
- trace code [i] based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- trace code [i] based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8146, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777060, 20]-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 (128, 147, 1864133)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (129, 148, 1864133)-net over F8 | [i] | ||
| 3 | Digital (136, 155, 1864142)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (137, 156, 1864147)-net over F8 | [i] | ||
| 5 | Digital (138, 157, 1864150)-net over F8 | [i] | ||
| 6 | Digital (139, 158, 1864157)-net over F8 | [i] | ||
| 7 | Digital (140, 159, 1864158)-net over F8 | [i] | ||
| 8 | Digital (141, 160, 1864161)-net over F8 | [i] | ||
| 9 | Digital (143, 162, 1864169)-net over F8 | [i] | ||
| 10 | Digital (144, 163, 1864198)-net over F8 | [i] | ||
| 11 | Digital (145, 164, 1864263)-net over F8 | [i] | ||
| 12 | Digital (147, 166, 1864293)-net over F8 | [i] | ||
| 13 | Digital (151, 170, 1864341)-net over F8 | [i] | ||
| 14 | Digital (153, 172, 1864393)-net over F8 | [i] | ||
| 15 | (142, 161, 1864166)-net in base 8 | [i] | ||
| 16 | (143, 162, 1864171)-net in base 8 | [i] | ||
| 17 | (149, 168, 1864391)-net in base 8 | [i] | ||
| 18 | (151, 170, 1864647)-net in base 8 | [i] | ||