Information on Result #2244041
Linear OA(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-code), using 1 times truncation based on linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4180, 3403, F4, 2, 40) (dual of [(3403, 2), 6626, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4180, 3403, F4, 3, 40) (dual of [(3403, 3), 10029, 41]-NRT-code) | [i] | ||
| 3 | Digital (140, 180, 3403)-net over F4 | [i] | ||
| 4 | Linear OA(4186, 4136, F4, 40) (dual of [4136, 3950, 41]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(4187, 4170, F4, 40) (dual of [4170, 3983, 41]-code) | [i] | ||
| 6 | Linear OA(4188, 4229, F4, 40) (dual of [4229, 4041, 41]-code) | [i] | ||
| 7 | Linear OA(4189, 4320, F4, 40) (dual of [4320, 4131, 41]-code) | [i] | ||
| 8 | Linear OA(4190, 4442, F4, 40) (dual of [4442, 4252, 41]-code) | [i] | ||
| 9 | Linear OA(4191, 4587, F4, 40) (dual of [4587, 4396, 41]-code) | [i] | ||
| 10 | Linear OA(4192, 4746, F4, 40) (dual of [4746, 4554, 41]-code) | [i] | ||
| 11 | Linear OA(4193, 4915, F4, 40) (dual of [4915, 4722, 41]-code) | [i] | ||
| 12 | Linear OOA(4180, 2048, F4, 2, 40) (dual of [(2048, 2), 3916, 41]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(4180, 1365, F4, 3, 40) (dual of [(1365, 3), 3915, 41]-NRT-code) | [i] | ||