Information on Result #1196984
Digital (48, 74, 1202)-net over F25, using net defined by OOA based on linear OOA(2574, 1202, F25, 26, 26) (dual of [(1202, 26), 31178, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(2574, 15626, F25, 26) (dual of [15626, 15552, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(251, 4, F25, 1) (dual of [4, 3, 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(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(2574, 15629, F25, 26) (dual of [15629, 15555, 27]-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 (65, 91, 1268)-net over F25 | [i] | (u, u+v)-Construction for Nets | |