Information on Result #1194876
Digital (28, 36, 262145)-net over F16, using net defined by OOA based on linear OOA(1636, 262145, F16, 8, 8) (dual of [(262145, 8), 2097124, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(1636, 1048580, F16, 8) (dual of [1048580, 1048544, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(1636, 1048581, F16, 8) (dual of [1048581, 1048545, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(1636, 1048576, F16, 8) (dual of [1048576, 1048540, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1631, 1048576, F16, 7) (dual of [1048576, 1048545, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(1636, 1048581, F16, 8) (dual of [1048581, 1048545, 9]-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 (32, 40, 262162)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (33, 41, 262169)-net over F16 | [i] | ||
| 3 | Digital (34, 42, 262265)-net over F16 | [i] | ||
| 4 | Digital (112, 128, 2359295)-net over F16 | [i] | ||
| 5 | (40, 48, 262145)-net in base 8 | [i] | Base Change | |