Information on Result #1205053
Digital (212, 222, large)-net over F2, using trace code for nets based on digital (27, 37, 1677720)-net over F64, using
- net defined by OOA [i] based on linear OOA(6437, 1677720, F64, 10, 10) (dual of [(1677720, 10), 16777163, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(6437, 8388600, F64, 10) (dual of [8388600, 8388563, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (213, 222, large)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (213, 223, large)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (212, 221, large)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (212, 220, large)-net over F2 | [i] | ||
| 5 | Digital (212, 219, large)-net over F2 | [i] | ||
| 6 | Digital (212, 218, large)-net over F2 | [i] | ||
| 7 | Digital (212, 217, large)-net over F2 | [i] | ||
| 8 | Digital (212, 216, large)-net over F2 | [i] | ||
| 9 | Digital (212, 215, large)-net over F2 | [i] | ||