Information on Result #662232
Linear OA(4260, 65557, F4, 40) (dual of [65557, 65297, 41]-code), using (u, u+v)-construction based on
- linear OA(420, 21, F4, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,4)), using
- dual of repetition code with length 21 [i]
- linear OA(4240, 65536, F4, 40) (dual of [65536, 65296, 41]-code), using
- 1 times truncation [i] based on linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using
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(4260, 63531, F4, 2, 40) (dual of [(63531, 2), 126802, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4260, 63531, F4, 3, 40) (dual of [(63531, 3), 190333, 41]-NRT-code) | [i] | ||
| 3 | Digital (220, 260, 63531)-net over F4 | [i] | ||