Information on Result #1204152
Digital (27, 55, 1170)-net over F128, using net defined by OOA based on linear OOA(12855, 1170, F128, 28, 28) (dual of [(1170, 28), 32705, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(12855, 16380, F128, 28) (dual of [16380, 16325, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(12855, 16384, F128, 28) (dual of [16384, 16329, 29]-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 (41, 69, 1299)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (42, 70, 1320)-net over F128 | [i] | ||
| 3 | Digital (44, 72, 1362)-net over F128 | [i] | ||
| 4 | Digital (46, 74, 1386)-net over F128 | [i] | ||
| 5 | Digital (48, 76, 1428)-net over F128 | [i] | ||
| 6 | Digital (49, 77, 1449)-net over F128 | [i] | ||
| 7 | Digital (50, 78, 1470)-net over F128 | [i] | ||
| 8 | (49, 77, 1170)-net in base 32 | [i] | Base Change | |