Information on Result #1814392
Digital (18, 28, 4194301)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25628, 4194301, F256, 2, 10) (dual of [(4194301, 2), 8388574, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25628, 8388602, F256, 10) (dual of [8388602, 8388574, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
Mode: 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 | Digital (19, 29, 4194301)-net over F256 | [i] | Net Duplication | |
| 2 | (22, 32, 4194301)-net in base 128 | [i] | Base Change | |