Information on Result #1192348
Digital (117, 137, 838860)-net over F8, using net defined by OOA based on linear OOA(8137, 838860, F8, 20, 20) (dual of [(838860, 20), 16777063, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8137, 8388600, F8, 20) (dual of [8388600, 8388463, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-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 (118, 138, 838860)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (119, 139, 838860)-net over F8 | [i] | ||
| 3 | Digital (120, 140, 838860)-net over F8 | [i] | ||
| 4 | Digital (121, 141, 838860)-net over F8 | [i] | ||
| 5 | Digital (122, 142, 838860)-net over F8 | [i] | ||
| 6 | Digital (123, 143, 838860)-net over F8 | [i] | ||
| 7 | Digital (127, 147, 838869)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (128, 148, 838874)-net over F8 | [i] | ||
| 9 | Digital (129, 149, 838877)-net over F8 | [i] | ||
| 10 | Digital (130, 150, 838884)-net over F8 | [i] | ||
| 11 | Digital (131, 151, 838885)-net over F8 | [i] | ||
| 12 | Digital (132, 152, 838888)-net over F8 | [i] | ||
| 13 | (133, 153, 838893)-net in base 8 | [i] | ||