Information on Result #1824177
(42, 54, 1398100)-net in base 32, using base change based on digital (33, 45, 1398100)-net over F64, using
- net defined by OOA [i] based on linear OOA(6445, 1398100, F64, 12, 12) (dual of [(1398100, 12), 16777155, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(6445, 8388600, F64, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(6445, 8388600, F64, 12) (dual of [8388600, 8388555, 13]-code), using
Mode: Constructive.
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 | (43, 55, 1398100)-net in base 32 | [i] | Net Duplication | |
| 2 | (48, 60, 1398133)-net in base 32 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (49, 61, 1398144)-net in base 32 | [i] | ||
| 4 | (50, 62, 1398165)-net in base 32 | [i] | ||
| 5 | (51, 63, 1398180)-net in base 32 | [i] | ||
| 6 | (53, 65, 1398442)-net in base 32 | [i] | ||
| 7 | (54, 66, 1398443)-net in base 32 | [i] | ||
| 8 | (55, 67, 1398444)-net in base 32 | [i] | ||
| 9 | (56, 68, 1399466)-net in base 32 | [i] | ||
| 10 | (57, 69, 1399467)-net in base 32 | [i] | ||
| 11 | (58, 70, 1409023)-net in base 32 | [i] | ||
| 12 | (59, 71, 1409025)-net in base 32 | [i] | ||
| 13 | (62, 74, 1485482)-net in base 32 | [i] | ||
| 14 | (63, 75, 1747626)-net in base 32 | [i] | ||
| 15 | (64, 76, 1747628)-net in base 32 | [i] | ||
| 16 | (65, 77, 2097151)-net in base 32 | [i] | ||
| 17 | (66, 78, 2097153)-net in base 32 | [i] | ||