Information on Result #3181789
Digital (114, 130, 8194)-net over F2, using t-expansion based on digital (113, 130, 8194)-net over F2, using
- net defined by OOA [i] based on linear OOA(2130, 8194, F2, 17, 17) (dual of [(8194, 17), 139168, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2130, 65553, F2, 17) (dual of [65553, 65423, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(2129, 65536, F2, 17) (dual of [65536, 65407, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 17, F2, 1) (dual of [17, 16, 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(16) ⊂ Ce(14) [i] based on
- OOA 8-folding and stacking with additional row [i] based on linear OA(2130, 65553, F2, 17) (dual of [65553, 65423, 18]-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 (115, 131, 8194)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (116, 132, 8194)-net over F2 | [i] | ||
| 3 | Digital (117, 133, 8194)-net over F2 | [i] | ||