Information on Result #1187604
Digital (162, 190, 18725)-net over F4, using net defined by OOA based on linear OOA(4190, 18725, F4, 28, 28) (dual of [(18725, 28), 524110, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(4190, 262150, F4, 28) (dual of [262150, 261960, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4190, 262153, F4, 28) (dual of [262153, 261963, 29]-code), using
- 1 times truncation [i] based on linear OA(4191, 262154, F4, 29) (dual of [262154, 261963, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(41, 10, F4, 1) (dual of [10, 9, 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(28) ⊂ Ce(26) [i] based on
- 1 times truncation [i] based on linear OA(4191, 262154, F4, 29) (dual of [262154, 261963, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4190, 262153, F4, 28) (dual of [262153, 261963, 29]-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 (181, 209, 18742)-net over F4 | [i] | (u, u+v)-Construction for Nets | |