Information on Result #1824002
(14, 20, 10923)-net in base 16, using base change based on digital (10, 16, 10923)-net over F32, using
- net defined by OOA [i] based on linear OOA(3216, 10923, F32, 6, 6) (dual of [(10923, 6), 65522, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3216, 32769, F32, 6) (dual of [32769, 32753, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3213, 32768, F32, 5) (dual of [32768, 32755, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(3216, 32769, F32, 6) (dual of [32769, 32753, 7]-code), using
Mode: Constructive.
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 | (76, 88, 2807123)-net in base 16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (81, 94, 2807123)-net in base 16 | [i] | ||