Information on Result #1213611
Digital (107, 121, 1198396)-net over F5, using (u, u+v)-construction based on
- digital (3, 10, 25)-net over F5, using
- digital (97, 111, 1198371)-net over F5, using
- net defined by OOA [i] based on linear OOA(5111, 1198371, F5, 14, 14) (dual of [(1198371, 14), 16777083, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(5111, 8388597, F5, 14) (dual of [8388597, 8388486, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(5111, 8388597, F5, 14) (dual of [8388597, 8388486, 15]-code), using
- net defined by OOA [i] based on linear OOA(5111, 1198371, F5, 14, 14) (dual of [(1198371, 14), 16777083, 15]-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 (108, 122, 1198396)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (109, 123, 1198396)-net over F5 | [i] | ||