Information on Result #1199212
Digital (25, 38, 5462)-net over F32, using net defined by OOA based on linear OOA(3238, 5462, F32, 13, 13) (dual of [(5462, 13), 70968, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3238, 32773, F32, 13) (dual of [32773, 32735, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3238, 32776, F32, 13) (dual of [32776, 32738, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(3237, 32769, F32, 13) (dual of [32769, 32732, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(3231, 32769, F32, 11) (dual of [32769, 32738, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3238, 32776, F32, 13) (dual of [32776, 32738, 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 (32, 45, 5506)-net over F32 | [i] | (u, u+v)-Construction for Nets | |