Information on Result #618581
Linear OA(4933, 2402, F49, 17) (dual of [2402, 2369, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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 OA(766, 4804, F7, 17) (dual of [4804, 4738, 18]-code) | [i] | Trace Code | |
2 | Linear OA(4941, 2452, F49, 17) (dual of [2452, 2411, 18]-code) | [i] | (u, u+v)-Construction | |
3 | Linear OA(4942, 2455, F49, 17) (dual of [2455, 2413, 18]-code) | [i] | ||
4 | Linear OA(4943, 2457, F49, 17) (dual of [2457, 2414, 18]-code) | [i] | ||
5 | Linear OA(4944, 2459, F49, 17) (dual of [2459, 2415, 18]-code) | [i] | ||
6 | Linear OA(4945, 2501, F49, 17) (dual of [2501, 2456, 18]-code) | [i] | ||
7 | Linear OA(4946, 2552, F49, 17) (dual of [2552, 2506, 18]-code) | [i] | ||
8 | Linear OA(4947, 2643, F49, 17) (dual of [2643, 2596, 18]-code) | [i] | ||
9 | Linear OA(4945, 2502, F49, 17) (dual of [2502, 2457, 18]-code) | [i] | ||
10 | Linear OA(4945, 2416, F49, 17) (dual of [2416, 2371, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
11 | Linear OA(4946, 2502, F49, 17) (dual of [2502, 2456, 18]-code) | [i] | ||
12 | Linear OA(4947, 2505, F49, 17) (dual of [2505, 2458, 18]-code) | [i] | ||
13 | Linear OA(4941, 2411, F49, 17) (dual of [2411, 2370, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
14 | Linear OA(4938, 2407, F49, 19) (dual of [2407, 2369, 20]-code) | [i] | ✔ | |
15 | Linear OA(4934, 2407, F49, 17) (dual of [2407, 2373, 18]-code) | [i] | ✔ | |
16 | Linear OA(4944, 2413, F49, 21) (dual of [2413, 2369, 22]-code) | [i] | ✔ | |
17 | Linear OA(4936, 2413, F49, 17) (dual of [2413, 2377, 18]-code) | [i] | ✔ | |
18 | Linear OA(4950, 2419, F49, 23) (dual of [2419, 2369, 24]-code) | [i] | ✔ | |
19 | Linear OA(4938, 2419, F49, 17) (dual of [2419, 2381, 18]-code) | [i] | ✔ | |
20 | Linear OA(4955, 2424, F49, 24) (dual of [2424, 2369, 25]-code) | [i] | ✔ | |
21 | Linear OA(4940, 2425, F49, 17) (dual of [2425, 2385, 18]-code) | [i] | ✔ | |
22 | Linear OOA(4933, 1201, F49, 2, 17) (dual of [(1201, 2), 2369, 18]-NRT-code) | [i] | OOA Folding |