Information on Result #1196348
Digital (27, 41, 2233)-net over F25, using net defined by OOA based on linear OOA(2541, 2233, F25, 14, 14) (dual of [(2233, 14), 31221, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2541, 15631, F25, 14) (dual of [15631, 15590, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-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 (28, 42, 2233)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (38, 52, 2299)-net over F25 | [i] | (u, u+v)-Construction for Nets | |