Information on Result #1220896
Digital (26, 34, 97684)-net over F25, using (u, u+v)-construction based on
- digital (1, 5, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- digital (21, 29, 97657)-net over F25, using
- net defined by OOA [i] based on linear OOA(2529, 97657, F25, 8, 8) (dual of [(97657, 8), 781227, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2529, 390628, F25, 8) (dual of [390628, 390599, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2529, 390629, F25, 8) (dual of [390629, 390600, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2525, 390625, F25, 7) (dual of [390625, 390600, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 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(2529, 390629, F25, 8) (dual of [390629, 390600, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(2529, 390628, F25, 8) (dual of [390628, 390599, 9]-code), using
- net defined by OOA [i] based on linear OOA(2529, 97657, F25, 8, 8) (dual of [(97657, 8), 781227, 9]-NRT-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 (94, 110, 1146259)-net over F25 | [i] | (u, u+v)-Construction for Nets | |