Information on Result #1196094
Digital (19, 29, 3126)-net over F25, using net defined by OOA based on linear OOA(2529, 3126, F25, 10, 10) (dual of [(3126, 10), 31231, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2529, 15630, F25, 10) (dual of [15630, 15601, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(9) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-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 (26, 36, 3426)-net over F25 | [i] | (u, u+v)-Construction for Nets | |