Information on Result #1841119
(67, 88, 209716)-net in base 32, using net defined by OOA based on OOA(3288, 209716, S32, 21, 21), using
- OOA 10-folding and stacking with additional row [i] based on OA(3288, 2097161, S32, 21), using
- 1 times code embedding in larger space [i] based on OA(3287, 2097160, S32, 21), using
- discarding parts of the base [i] based on linear OA(12862, 2097160, F128, 21) (dual of [2097160, 2097098, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- discarding parts of the base [i] based on linear OA(12862, 2097160, F128, 21) (dual of [2097160, 2097098, 22]-code), using
- 1 times code embedding in larger space [i] based on OA(3287, 2097160, S32, 21), 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 | (68, 89, 209716)-net in base 32 | [i] | Net Duplication | |
| 2 | (69, 90, 209716)-net in base 32 | [i] | ||