Information on Result #1846463
(42, 54, 6365424)-net in base 32, using base change based on digital (33, 45, 6365424)-net over F64, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(6445, 6365424, F64, 12) (dual of [6365424, 6365379, 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
Mode: Arbitrary.
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, 6365424)-net in base 32 | [i] | Net Duplication | |
| 2 | OOA(3254, 6365424, S32, 2, 12) | [i] | Extracting Embedded OOA | |