Information on Result #1188766
Digital (48, 61, 2605)-net over F5, using net defined by OOA based on linear OOA(561, 2605, F5, 13, 13) (dual of [(2605, 13), 33804, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(561, 15631, F5, 13) (dual of [15631, 15570, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [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 (54, 67, 2611)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (55, 68, 2615)-net over F5 | [i] | ||
| 3 | Digital (56, 69, 2619)-net over F5 | [i] | ||
| 4 | Digital (57, 70, 2632)-net over F5 | [i] | ||