Information on Result #1191100
Digital (25, 32, 10926)-net over F8, using net defined by OOA based on linear OOA(832, 10926, F8, 7, 7) (dual of [(10926, 7), 76450, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(832, 32779, F8, 7) (dual of [32779, 32747, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(832, 32780, F8, 7) (dual of [32780, 32748, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(831, 32769, F8, 7) (dual of [32769, 32738, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(821, 32769, F8, 5) (dual of [32769, 32748, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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
- discarding factors / shortening the dual code based on linear OA(832, 32780, F8, 7) (dual of [32780, 32748, 8]-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 (124, 138, 2407668)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (131, 146, 2407668)-net over F8 | [i] | ||