Information on Result #1195148
Digital (52, 65, 174766)-net over F16, using net defined by OOA based on linear OOA(1665, 174766, F16, 13, 13) (dual of [(174766, 13), 2271893, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(1665, 1048597, F16, 13) (dual of [1048597, 1048532, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1665, 1048601, F16, 13) (dual of [1048601, 1048536, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(1661, 1048577, F16, 13) (dual of [1048577, 1048516, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1641, 1048577, F16, 9) (dual of [1048577, 1048536, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(1665, 1048601, F16, 13) (dual of [1048601, 1048536, 14]-code), using
Mode: Constructive and 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 | Digital (53, 66, 174766)-net over F16 | [i] | Net Duplication | |