Information on Result #1191086
Digital (18, 25, 1366)-net over F8, using net defined by OOA based on linear OOA(825, 1366, F8, 7, 7) (dual of [(1366, 7), 9537, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(825, 4099, F8, 7) (dual of [4099, 4074, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(825, 4100, F8, 7) (dual of [4100, 4075, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(825, 4096, F8, 7) (dual of [4096, 4071, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(825, 4100, F8, 7) (dual of [4100, 4075, 8]-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 (117, 131, 2398108)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (124, 139, 2398108)-net over F8 | [i] | ||