Information on Result #1226997
Digital (55, 70, 1199736)-net over F64, using (u, u+v)-construction based on
- digital (6, 13, 1365)-net over F64, using
- net defined by OOA [i] based on linear OOA(6413, 1365, F64, 7, 7) (dual of [(1365, 7), 9542, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using
- net defined by OOA [i] based on linear OOA(6413, 1365, F64, 7, 7) (dual of [(1365, 7), 9542, 8]-NRT-code), using
- digital (42, 57, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-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 | (69, 84, 1199736)-net in base 32 | [i] | Base Change | |