Information on Result #1182460
Digital (162, 189, 1262)-net over F2, using net defined by OOA based on linear OOA(2189, 1262, F2, 27, 27) (dual of [(1262, 27), 33885, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2189, 16407, F2, 27) (dual of [16407, 16218, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- 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(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(26) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-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 (163, 189, 1262)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (163, 190, 1262)-net over F2 | [i] | Net Duplication | |