Information on Result #1846655
(39, 56, 2882188)-net in base 128, using base change based on digital (32, 49, 2882188)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25649, 2882188, F256, 2, 17) (dual of [(2882188, 2), 5764327, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 4194301, F256, 2, 17) (dual of [(4194301, 2), 8388553, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25649, 8388602, F256, 17) (dual of [8388602, 8388553, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 2-folding [i] based on linear OA(25649, 8388602, F256, 17) (dual of [8388602, 8388553, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 4194301, F256, 2, 17) (dual of [(4194301, 2), 8388553, 18]-NRT-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 | (40, 57, 2882188)-net in base 128 | [i] | Net Duplication | |
| 2 | (41, 58, 2882188)-net in base 128 | [i] | ||
| 3 | (39, 55, 2882188)-net in base 128 | [i] | m-Reduction | |
| 4 | OOA(12856, 2882188, S128, 3, 17) | [i] | Extracting Embedded OOA | |
| 5 | OOA(12856, 2882188, S128, 4, 17) | [i] | ||