Information on Result #1193226
Digital (52, 60, 4194301)-net over F9, using net defined by OOA based on linear OOA(960, 4194301, F9, 10, 8) (dual of [(4194301, 10), 41942950, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(960, large, F9, 2, 8), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(958, 8388602, F9, 2, 8) (dual of [(8388602, 2), 16777146, 9]-NRT-code), using
- trace code [i] based on linear OOA(8129, 4194301, F81, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F81, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F81, 8) (dual of [8388602, 8388573, 9]-code), using
- trace code [i] based on linear OOA(8129, 4194301, F81, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(958, 8388602, F9, 2, 8) (dual of [(8388602, 2), 16777146, 9]-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 (53, 61, 4194301)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (77, 85, 8388602)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (76, 84, 8388602)-net in base 9 | [i] | ||