Information on Result #1185826
Digital (25, 32, 1369)-net over F4, using net defined by OOA based on linear OOA(432, 1369, F4, 7, 7) (dual of [(1369, 7), 9551, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(432, 4108, F4, 7) (dual of [4108, 4076, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(432, 4109, F4, 7) (dual of [4109, 4077, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(431, 4096, F4, 7) (dual of [4096, 4065, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(419, 4096, F4, 5) (dual of [4096, 4077, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(41, 13, F4, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(432, 4109, F4, 7) (dual of [4109, 4077, 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 (139, 153, 1199740)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (178, 192, 4794853)-net over F4 | [i] | ||
| 3 | Digital (150, 165, 1199740)-net over F4 | [i] | ||
| 4 | Digital (189, 204, 4794853)-net over F4 | [i] | ||