Information on Result #1186396
Digital (77, 91, 37450)-net over F4, using net defined by OOA based on linear OOA(491, 37450, F4, 14, 14) (dual of [(37450, 14), 524209, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(491, 262150, F4, 14) (dual of [262150, 262059, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-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 (78, 92, 37450)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (79, 93, 37450)-net over F4 | [i] | ||
| 3 | Digital (85, 99, 37459)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (86, 100, 37460)-net over F4 | [i] | ||