Information on Result #1220853
Digital (14, 20, 5835)-net over F25, using (u, u+v)-construction based on
- digital (1, 4, 626)-net over F25, using
- net defined by OOA [i] based on linear OOA(254, 626, F25, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(254, 626, F25, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code), using
- digital (10, 16, 5209)-net over F25, using
- net defined by OOA [i] based on linear OOA(2516, 5209, F25, 6, 6) (dual of [(5209, 6), 31238, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2516, 15627, F25, 6) (dual of [15627, 15611, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, 15628, F25, 6) (dual of [15628, 15612, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2516, 15625, F25, 6) (dual of [15625, 15609, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2513, 15625, F25, 5) (dual of [15625, 15612, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(2516, 15628, F25, 6) (dual of [15628, 15612, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(2516, 15627, F25, 6) (dual of [15627, 15611, 7]-code), using
- net defined by OOA [i] based on linear OOA(2516, 5209, F25, 6, 6) (dual of [(5209, 6), 31238, 7]-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 (64, 76, 1403935)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (68, 81, 1403935)-net over F25 | [i] | ||