Information on Result #1200230
Digital (12, 17, 2882402)-net over F49, using net defined by OOA based on linear OOA(4917, 2882402, F49, 5, 5) (dual of [(2882402, 5), 14411993, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(4917, 5764805, F49, 5) (dual of [5764805, 5764788, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(4917, 5764801, F49, 5) (dual of [5764801, 5764784, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [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 (29, 34, 5764804)-net over F7 | [i] | Trace Code for Nets | |
| 2 | Digital (14, 19, 2882452)-net over F49 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (15, 20, 2884853)-net over F49 | [i] | ||
| 4 | Digital (17, 22, 5764804)-net over F49 | [i] | ||
| 5 | Digital (44, 54, 2305922)-net over F49 | [i] | ||
| 6 | Digital (45, 55, 2305924)-net over F49 | [i] | ||
| 7 | Digital (19, 24, large)-net over F49 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 8 | Digital (18, 23, large)-net over F49 | [i] | ||