Information on Result #1200068
Digital (79, 106, 80660)-net over F32, using net defined by OOA based on linear OOA(32106, 80660, F32, 27, 27) (dual of [(80660, 27), 2177714, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(32106, 1048581, F32, 27) (dual of [1048581, 1048475, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(32106, 1048586, F32, 27) (dual of [1048586, 1048480, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(32105, 1048577, F32, 27) (dual of [1048577, 1048472, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3297, 1048577, F32, 25) (dual of [1048577, 1048480, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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([0,13]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(32106, 1048586, F32, 27) (dual of [1048586, 1048480, 28]-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 (80, 107, 80660)-net over F32 | [i] | Net Duplication | |