Information on Result #1191032
Digital (25, 31, 87383)-net over F8, using net defined by OOA based on linear OOA(831, 87383, F8, 6, 6) (dual of [(87383, 6), 524267, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(831, 262149, F8, 6) (dual of [262149, 262118, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(831, 262150, F8, 6) (dual of [262150, 262119, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(825, 262144, F8, 5) (dual of [262144, 262119, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(831, 262150, F8, 6) (dual of [262150, 262119, 7]-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 (109, 121, 2883583)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (116, 129, 2883583)-net over F8 | [i] | ||