Information on Result #1198632
Digital (57, 88, 1312)-net over F27, using net defined by OOA based on linear OOA(2788, 1312, F27, 31, 31) (dual of [(1312, 31), 40584, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2788, 19681, F27, 31) (dual of [19681, 19593, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- discarding factors / shortening the dual code based on linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-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 (58, 89, 1312)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (59, 90, 1312)-net over F27 | [i] | ||
| 3 | Digital (60, 91, 1312)-net over F27 | [i] | ||
| 4 | Digital (57, 87, 1312)-net over F27 | [i] | m-Reduction | |
| 5 | Digital (72, 103, 1340)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (73, 104, 1350)-net over F27 | [i] | ||
| 7 | Digital (74, 105, 1360)-net over F27 | [i] | ||
| 8 | Digital (75, 106, 1364)-net over F27 | [i] | ||
| 9 | Digital (76, 107, 1376)-net over F27 | [i] | ||
| 10 | Digital (77, 108, 1380)-net over F27 | [i] | ||
| 11 | Digital (78, 109, 1388)-net over F27 | [i] | ||
| 12 | Digital (79, 110, 1394)-net over F27 | [i] | ||
| 13 | (77, 108, 1394)-net in base 27 | [i] | ||
| 14 | (79, 110, 1412)-net in base 27 | [i] | ||
| 15 | (101, 132, 1312)-net in base 9 | [i] | Base Change | |