Information on Result #2271399
Linear OA(4158, large, F4, 17) (dual of [large, large−158, 18]-code), using 13 times code embedding in larger space based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(4158, 4287513, F4, 2, 17) (dual of [(4287513, 2), 8574868, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(4158, 4287513, F4, 3, 17) (dual of [(4287513, 3), 12862381, 18]-NRT-code) | [i] | ||
3 | Digital (141, 158, 4287513)-net over F4 | [i] |