Information on Result #1778703
Digital (164, 184, 4194303)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4184, 4194303, F4, 2, 20) (dual of [(4194303, 2), 8388422, 21]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4180, 4194301, F4, 2, 20) (dual of [(4194301, 2), 8388422, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4180, 8388602, F4, 20) (dual of [8388602, 8388422, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- OOA 2-folding [i] based on linear OA(4180, 8388602, F4, 20) (dual of [8388602, 8388422, 21]-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 (165, 185, 4194303)-net over F4 | [i] | Net Duplication | |