Information on Result #1198816
Digital (13, 20, 10925)-net over F32, using net defined by OOA based on linear OOA(3220, 10925, F32, 7, 7) (dual of [(10925, 7), 76455, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(3220, 32776, F32, 7) (dual of [32776, 32756, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(3219, 32769, F32, 7) (dual of [32769, 32750, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(3213, 32769, F32, 5) (dual of [32769, 32756, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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([0,3]) ⊂ C([0,2]) [i] based on
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 (72, 86, 1209296)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (76, 91, 1209296)-net over F32 | [i] | ||
| 3 | (70, 84, 1209296)-net in base 32 | [i] | ||
| 4 | (74, 89, 1209296)-net in base 32 | [i] | ||