Information on Result #1182668
Digital (201, 232, 2186)-net over F2, using net defined by OOA based on linear OOA(2232, 2186, F2, 31, 31) (dual of [(2186, 31), 67534, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(2232, 32791, F2, 31) (dual of [32791, 32559, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, 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(2232, 32800, F2, 31) (dual of [32800, 32568, 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 (202, 232, 2186)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (202, 233, 2186)-net over F2 | [i] | Net Duplication | |