Information on Result #1759735
Digital (231, 254, 1048575)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2254, 1048575, F2, 8, 23) (dual of [(1048575, 8), 8388346, 24]-NRT-code), using
- OOA 8-folding [i] based on linear OA(2254, 8388600, F2, 23) (dual of [8388600, 8388346, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2254, large, F2, 23) (dual of [large, large−254, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(2254, large, F2, 23) (dual of [large, large−254, 24]-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 (232, 255, 1048575)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (233, 256, 1048575)-net over F2 | [i] | ||
| 3 | Digital (234, 257, 1048575)-net over F2 | [i] | ||
| 4 | Digital (235, 258, 1048575)-net over F2 | [i] | ||
| 5 | Digital (236, 259, 1048575)-net over F2 | [i] | ||