Information on Result #1808320
Digital (26, 40, 16385)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3240, 16385, F32, 2, 14) (dual of [(16385, 2), 32730, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3240, 32770, F32, 14) (dual of [32770, 32730, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 32771, F32, 14) (dual of [32771, 32731, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3237, 32768, F32, 13) (dual of [32768, 32731, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3240, 32771, F32, 14) (dual of [32771, 32731, 15]-code), using
Mode: 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 | (36, 50, 16385)-net in base 16 | [i] | Base Change | |