Information on Result #1182712
Digital (198, 231, 1026)-net over F2, using net defined by OOA based on linear OOA(2231, 1026, F2, 33, 33) (dual of [(1026, 33), 33627, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(2231, 16417, F2, 33) (dual of [16417, 16186, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2197, 16385, F2, 29) (dual of [16385, 16188, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
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 (199, 232, 1026)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (200, 233, 1026)-net over F2 | [i] | ||
| 3 | Digital (201, 234, 1026)-net over F2 | [i] | ||
| 4 | Digital (202, 235, 1026)-net over F2 | [i] | ||
| 5 | Digital (203, 236, 1026)-net over F2 | [i] | ||
| 6 | Digital (204, 237, 1026)-net over F2 | [i] | ||