Information on Result #1846641
(28, 40, 4194301)-net in base 128, using base change based on digital (23, 35, 4194301)-net over F256, using
- 2561 times duplication [i] based on digital (22, 34, 4194301)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25634, 4194301, F256, 2, 12) (dual of [(4194301, 2), 8388568, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25634, 8388602, F256, 12) (dual of [8388602, 8388568, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- OOA 2-folding [i] based on linear OA(25634, 8388602, F256, 12) (dual of [8388602, 8388568, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25634, 4194301, F256, 2, 12) (dual of [(4194301, 2), 8388568, 13]-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 | (29, 41, 4194301)-net in base 128 | [i] | Net Duplication | |
| 2 | OOA(12840, 4194301, S128, 3, 12) | [i] | Extracting Embedded OOA | |
| 3 | OOA(12840, 4194301, S128, 4, 12) | [i] | ||