Information on Result #662309
Linear OA(4214, 65561, F4, 33) (dual of [65561, 65347, 34]-code), using (u, u+v)-construction based on
- linear OA(421, 24, F4, 16) (dual of [24, 3, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- 3 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(421, 25, F4, 16) (dual of [25, 4, 17]-code), using
- linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(4214, 56683, F4, 2, 33) (dual of [(56683, 2), 113152, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4214, 56683, F4, 3, 33) (dual of [(56683, 3), 169835, 34]-NRT-code) | [i] | ||
| 3 | Digital (181, 214, 56683)-net over F4 | [i] | ||