Information on Result #1188122
Digital (24, 30, 26044)-net over F5, using net defined by OOA based on linear OOA(530, 26044, F5, 6, 6) (dual of [(26044, 6), 156234, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(530, 78132, F5, 6) (dual of [78132, 78102, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(530, 78133, F5, 6) (dual of [78133, 78103, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(522, 78125, F5, 4) (dual of [78125, 78103, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(530, 78133, F5, 6) (dual of [78133, 78103, 7]-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 (130, 142, 2822244)-net over F5 | [i] | (u, u+v)-Construction for Nets | |