Information on Result #1841199
(44, 69, 1365)-net in base 32, using net defined by OOA based on OOA(3269, 1365, S32, 25, 25), using
- OOA 12-folding and stacking with additional row [i] based on OA(3269, 16381, S32, 25), using
- discarding factors based on OA(3269, 16386, S32, 25), using
- discarding parts of the base [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- discarding parts of the base [i] based on linear OA(12849, 16386, F128, 25) (dual of [16386, 16337, 26]-code), using
- discarding factors based on OA(3269, 16386, S32, 25), 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 | (44, 68, 1365)-net in base 32 | [i] | m-Reduction | |