Information on Result #1824010
(25, 35, 6554)-net in base 16, using base change based on digital (18, 28, 6554)-net over F32, using
- net defined by OOA [i] based on linear OOA(3228, 6554, F32, 10, 10) (dual of [(6554, 10), 65512, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(3228, 32770, F32, 10) (dual of [32770, 32742, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 32771, F32, 10) (dual of [32771, 32743, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(3228, 32768, F32, 10) (dual of [32768, 32740, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3225, 32768, F32, 9) (dual of [32768, 32743, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(3228, 32771, F32, 10) (dual of [32771, 32743, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(3228, 32770, F32, 10) (dual of [32770, 32742, 11]-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 | (26, 36, 6554)-net in base 16 | [i] | Net Duplication | |