Information on Result #1180038
Digital (81, 92, 52432)-net over F2, using net defined by OOA based on linear OOA(292, 52432, F2, 11, 11) (dual of [(52432, 11), 576660, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(292, 262161, F2, 11) (dual of [262161, 262069, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(292, 262163, F2, 11) (dual of [262163, 262071, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(273, 262144, F2, 9) (dual of [262144, 262071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 19, F2, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(292, 262163, F2, 11) (dual of [262163, 262071, 12]-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 (82, 92, 52432)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (82, 93, 52432)-net over F2 | [i] | Net Duplication | |