Information on Result #1205054
Digital (235, 246, large)-net over F2, using trace code for nets based on digital (30, 41, 1677720)-net over F64, using
- net defined by OOA [i] based on linear OOA(6441, 1677720, F64, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(6441, 8388601, F64, 11) (dual of [8388601, 8388560, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(6441, 8388601, F64, 11) (dual of [8388601, 8388560, 12]-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 (236, 246, large)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (236, 247, large)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (235, 245, large)-net over F2 | [i] | m-Reduction | |
| 4 | Digital (235, 244, large)-net over F2 | [i] | ||
| 5 | Digital (235, 243, large)-net over F2 | [i] | ||
| 6 | Digital (235, 242, large)-net over F2 | [i] | ||
| 7 | Digital (235, 241, large)-net over F2 | [i] | ||
| 8 | Digital (235, 240, large)-net over F2 | [i] | ||
| 9 | Digital (235, 239, large)-net over F2 | [i] | ||
| 10 | Digital (235, 238, large)-net over F2 | [i] | ||