Information on Result #1213182
Digital (52, 58, 5592588)-net over F5, using (u, u+v)-construction based on
- digital (3, 6, 186)-net over F5, using
- net defined by OOA [i] based on linear OOA(56, 186, F5, 3, 3) (dual of [(186, 3), 552, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(56, 186, F5, 2, 3) (dual of [(186, 2), 366, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(56, 186, F5, 3, 3) (dual of [(186, 3), 552, 4]-NRT-code), using
- digital (46, 52, 5592402)-net over F5, using
- trace code for nets [i] based on digital (20, 26, 2796201)-net over F25, using
- net defined by OOA [i] based on linear OOA(2526, 2796201, F25, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2526, 2796201, F25, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- trace code for nets [i] based on digital (20, 26, 2796201)-net over F25, 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 | Linear OOA(558, 5592588, F5, 3, 6) (dual of [(5592588, 3), 16777706, 7]-NRT-code) | [i] | Extracting Embedded OOA | |