Information on Result #1179142
Digital (29, 38, 130)-net over F2, using net defined by OOA based on linear OOA(238, 130, F2, 9, 9) (dual of [(130, 9), 1132, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(238, 130, F2, 8, 9) (dual of [(130, 8), 1002, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(238, 521, F2, 9) (dual of [521, 483, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(238, 522, F2, 9) (dual of [522, 484, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(237, 512, F2, 9) (dual of [512, 475, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(228, 512, F2, 7) (dual of [512, 484, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(238, 522, F2, 9) (dual of [522, 484, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(238, 521, F2, 9) (dual of [521, 483, 10]-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 (227, 245, 932197)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (227, 246, 932196)-net over F2 | [i] | ||