Information on Result #1186488
Digital (107, 122, 599187)-net over F4, using net defined by OOA based on linear OOA(4122, 599187, F4, 15, 15) (dual of [(599187, 15), 8987683, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(4122, 4194310, F4, 15) (dual of [4194310, 4194188, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4122, 4194315, F4, 15) (dual of [4194315, 4194193, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4122, 4194304, F4, 15) (dual of [4194304, 4194182, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4111, 4194304, F4, 14) (dual of [4194304, 4194193, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4122, 4194315, F4, 15) (dual of [4194315, 4194193, 16]-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, 130, 599196)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (116, 131, 599197)-net over F4 | [i] | ||
| 3 | Digital (117, 132, 599202)-net over F4 | [i] | ||