Information on Result #1190548
Digital (50, 65, 2403)-net over F7, using net defined by OOA based on linear OOA(765, 2403, F7, 15, 15) (dual of [(2403, 15), 35980, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(765, 16822, F7, 15) (dual of [16822, 16757, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [i] based on
- linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(751, 16808, F7, 11) (dual of [16808, 16757, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
- construction X applied to C([0,7]) ⊂ C([0,5]) [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 (51, 66, 2403)-net over F7 | [i] | Net Duplication | |