Information on Result #1194228
Digital (127, 146, 1864133)-net over F9, using net defined by OOA based on linear OOA(9146, 1864133, F9, 21, 19) (dual of [(1864133, 21), 39146647, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9146, 5592400, F9, 3, 19) (dual of [(5592400, 3), 16777054, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9146, 5592402, F9, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
- trace code [i] based on linear OOA(8173, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- trace code [i] based on linear OOA(8173, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9146, 5592402, F9, 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 F9 | [i] | Net Duplication | |
| 2 | Digital (129, 148, 1864133)-net over F9 | [i] | ||