Information on Result #3181676
Digital (110, 128, 1822)-net over F2, using t-expansion based on digital (109, 128, 1822)-net over F2, using
- net defined by OOA [i] based on linear OOA(2128, 1822, F2, 19, 19) (dual of [(1822, 19), 34490, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2128, 16399, F2, 19) (dual of [16399, 16271, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2113, 16384, F2, 17) (dual of [16384, 16271, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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(18) ⊂ Ce(16) [i] based on
- OOA 9-folding and stacking with additional row [i] based on linear OA(2128, 16399, F2, 19) (dual of [16399, 16271, 20]-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 (111, 129, 1822)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (112, 130, 1822)-net over F2 | [i] | ||
| 3 | Digital (113, 131, 1822)-net over F2 | [i] | ||