Information on Result #1195714
Digital (77, 105, 4681)-net over F16, using net defined by OOA based on linear OOA(16105, 4681, F16, 28, 28) (dual of [(4681, 28), 130963, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(16105, 65534, F16, 28) (dual of [65534, 65429, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 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 (78, 106, 4681)-net over F16 | [i] | Net Duplication | |
| 2 | (112, 140, 4681)-net in base 8 | [i] | Base Change | |