Information on Result #1196810
Digital (43, 65, 1421)-net over F25, using net defined by OOA based on linear OOA(2565, 1421, F25, 22, 22) (dual of [(1421, 22), 31197, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(2565, 15631, F25, 22) (dual of [15631, 15566, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2565, 15632, F25, 22) (dual of [15632, 15567, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(2565, 15632, F25, 22) (dual of [15632, 15567, 23]-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 (44, 66, 1421)-net over F25 | [i] | Net Duplication | |
| 2 | Digital (58, 80, 1487)-net over F25 | [i] | (u, u+v)-Construction for Nets | |