Information on Result #1188328
Digital (41, 49, 97658)-net over F5, using net defined by OOA based on linear OOA(549, 97658, F5, 8, 8) (dual of [(97658, 8), 781215, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(549, 390632, F5, 8) (dual of [390632, 390583, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(549, 390633, F5, 8) (dual of [390633, 390584, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(549, 390633, F5, 8) (dual of [390633, 390584, 9]-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 (45, 53, 97664)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (46, 54, 97670)-net over F5 | [i] | ||