Information on Result #3181299
Digital (107, 121, 18727)-net over F2, using t-expansion based on digital (106, 121, 18727)-net over F2, using
- net defined by OOA [i] based on linear OOA(2121, 18727, F2, 15, 15) (dual of [(18727, 15), 280784, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2121, 131090, F2, 15) (dual of [131090, 130969, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2103, 131072, F2, 13) (dual of [131072, 130969, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(14) ⊂ Ce(12) [i] based on
- OOA 7-folding and stacking with additional row [i] based on linear OA(2121, 131090, F2, 15) (dual of [131090, 130969, 16]-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 (108, 122, 18727)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (109, 123, 18727)-net over F2 | [i] | ||
| 3 | Digital (110, 124, 18727)-net over F2 | [i] | ||