Information on Result #1179460
Digital (25, 29, 976572)-net over F5, using net defined by OOA based on linear OOA(529, 976572, F5, 4, 4) (dual of [(976572, 4), 3906259, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(529, 976572, F5, 3, 4) (dual of [(976572, 3), 2929687, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(529, 1953144, F5, 4) (dual of [1953144, 1953115, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(528, 1953125, F5, 4) (dual of [1953125, 1953097, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(510, 1953125, F5, 2) (dual of [1953125, 1953115, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(51, 19, F5, 1) (dual of [19, 18, 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(3) ⊂ Ce(1) [i] based on
- OA 2-folding and stacking [i] based on linear OA(529, 1953144, F5, 4) (dual of [1953144, 1953115, 5]-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 (93, 101, 5170872)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (102, 111, 5170872)-net over F5 | [i] | ||