Information on Result #1840421
(36, 51, 2340)-net in base 16, using net defined by OOA based on OOA(1651, 2340, S16, 15, 15), using
- OOA 7-folding and stacking with additional row [i] based on OA(1651, 16381, S16, 15), using
- discarding factors based on OA(1651, 16386, S16, 15), using
- discarding parts of the base [i] based on linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(12829, 16384, F128, 15) (dual of [16384, 16355, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- discarding parts of the base [i] based on linear OA(12829, 16386, F128, 15) (dual of [16386, 16357, 16]-code), using
- discarding factors based on OA(1651, 16386, S16, 15), 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 | (37, 52, 2340)-net in base 16 | [i] | Net Duplication | |