Information on Result #1841269
(55, 86, 1092)-net in base 32, using net defined by OOA based on OOA(3286, 1092, S32, 31, 31), using
- OOA 15-folding and stacking with additional row [i] based on OA(3286, 16381, S32, 31), using
- discarding factors based on OA(3286, 16386, S32, 31), using
- discarding parts of the base [i] based on linear OA(12861, 16386, F128, 31) (dual of [16386, 16325, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(12861, 16384, F128, 31) (dual of [16384, 16323, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(30) ⊂ Ce(29) [i] based on
- discarding parts of the base [i] based on linear OA(12861, 16386, F128, 31) (dual of [16386, 16325, 32]-code), using
- discarding factors based on OA(3286, 16386, S32, 31), 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 | (56, 86, 1092)-net in base 32 | [i] | t-Expansion | |
| 2 | (56, 87, 1092)-net in base 32 | [i] | Net Duplication | |
| 3 | (57, 88, 1092)-net in base 32 | [i] | ||
| 4 | (58, 89, 1092)-net in base 32 | [i] | ||
| 5 | (55, 85, 1092)-net in base 32 | [i] | m-Reduction | |