Information on Result #1182660
Digital (186, 217, 1094)-net over F2, using net defined by OOA based on linear OOA(2217, 1094, F2, 31, 31) (dual of [(1094, 31), 33697, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2217, 16411, F2, 31) (dual of [16411, 16194, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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 Ce(30) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-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 (187, 217, 1094)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (187, 218, 1094)-net over F2 | [i] | Net Duplication | |
| 3 | Digital (188, 219, 1094)-net over F2 | [i] | ||
| 4 | Digital (189, 220, 1094)-net over F2 | [i] | ||
| 5 | Digital (190, 221, 1094)-net over F2 | [i] | ||
| 6 | Digital (191, 222, 1094)-net over F2 | [i] | ||