Information on Result #1186398
Digital (80, 94, 37452)-net over F4, using net defined by OOA based on linear OOA(494, 37452, F4, 14, 14) (dual of [(37452, 14), 524234, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(494, 262164, F4, 14) (dual of [262164, 262070, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(494, 262165, F4, 14) (dual of [262165, 262071, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [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(473, 262144, F4, 11) (dual of [262144, 262071, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(494, 262165, F4, 14) (dual of [262165, 262071, 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 (81, 95, 37452)-net over F4 | [i] | Net Duplication | |