Information on Result #1188888
Digital (67, 81, 11164)-net over F5, using net defined by OOA based on linear OOA(581, 11164, F5, 14, 14) (dual of [(11164, 14), 156215, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(581, 78148, F5, 14) (dual of [78148, 78067, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(581, 78149, F5, 14) (dual of [78149, 78068, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(581, 78149, F5, 14) (dual of [78149, 78068, 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 (68, 82, 11164)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (69, 83, 11164)-net over F5 | [i] | ||