Information on Result #618564

Linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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:

ResultThis
result
only		Method
1Linear OA(758, 4804, F7, 15) (dual of [4804, 4746, 16]-code) [i]Trace Code
2Linear OA(4936, 2452, F49, 15) (dual of [2452, 2416, 16]-code) [i](u, u+v)-Construction
3Linear OA(4937, 2455, F49, 15) (dual of [2455, 2418, 16]-code) [i]
4Linear OA(4938, 2457, F49, 15) (dual of [2457, 2419, 16]-code) [i]
5Linear OA(4939, 2500, F49, 15) (dual of [2500, 2461, 16]-code) [i]
6Linear OA(4940, 2552, F49, 15) (dual of [2552, 2512, 16]-code) [i]
7Linear OA(4941, 2643, F49, 15) (dual of [2643, 2602, 16]-code) [i]
8Linear OA(4939, 2502, F49, 15) (dual of [2502, 2463, 16]-code) [i]
9Linear OA(4941, 2502, F49, 15) (dual of [2502, 2461, 16]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(4936, 2410, F49, 15) (dual of [2410, 2374, 16]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(4934, 2407, F49, 17) (dual of [2407, 2373, 18]-code) [i]✔
12Linear OA(4930, 2407, F49, 15) (dual of [2407, 2377, 16]-code) [i]✔
13Linear OA(4940, 2413, F49, 19) (dual of [2413, 2373, 20]-code) [i]✔
14Linear OA(4932, 2413, F49, 15) (dual of [2413, 2381, 16]-code) [i]✔
15Linear OA(4946, 2419, F49, 21) (dual of [2419, 2373, 22]-code) [i]✔
16Linear OA(4934, 2419, F49, 15) (dual of [2419, 2385, 16]-code) [i]✔
17Linear OA(4952, 2425, F49, 23) (dual of [2425, 2373, 24]-code) [i]✔
18Linear OOA(4929, 1201, F49, 2, 15) (dual of [(1201, 2), 2373, 16]-NRT-code) [i]OOA Folding
19Linear OOA(4929, 343, F49, 15, 15) (dual of [(343, 15), 5116, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row