Information on Result #1191178
Digital (35, 43, 65537)-net over F8, using net defined by OOA based on linear OOA(843, 65537, F8, 8, 8) (dual of [(65537, 8), 524253, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(843, 262148, F8, 8) (dual of [262148, 262105, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(843, 262150, F8, 8) (dual of [262150, 262107, 9]-code), using
- 1 times truncation [i] based on linear OA(844, 262151, F8, 9) (dual of [262151, 262107, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- 1 times truncation [i] based on linear OA(844, 262151, F8, 9) (dual of [262151, 262107, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(843, 262150, F8, 8) (dual of [262150, 262107, 9]-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 (149, 165, 2162687)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (156, 173, 2162687)-net over F8 | [i] | ||