Information on Result #1190534
Digital (38, 53, 345)-net over F7, using net defined by OOA based on linear OOA(753, 345, F7, 15, 15) (dual of [(345, 15), 5122, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(753, 2416, F7, 15) (dual of [2416, 2363, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(753, 2417, F7, 15) (dual of [2417, 2364, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(737, 2401, F7, 11) (dual of [2401, 2364, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(753, 2417, F7, 15) (dual of [2417, 2364, 16]-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 (39, 53, 345)-net over F7 | [i] | t-Expansion | |
| 2 | Digital (39, 54, 345)-net over F7 | [i] | Net Duplication | |