Information on Result #618610

Linear OA(4941, 2402, F49, 21) (dual of [2402, 2361, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(782, 4804, F7, 21) (dual of [4804, 4722, 22]-code) [i]Trace Code
2Linear OA(4951, 2452, F49, 21) (dual of [2452, 2401, 22]-code) [i](u, u+v)-Construction
3Linear OA(4952, 2455, F49, 21) (dual of [2455, 2403, 22]-code) [i]
4Linear OA(4953, 2457, F49, 21) (dual of [2457, 2404, 22]-code) [i]
5Linear OA(4954, 2459, F49, 21) (dual of [2459, 2405, 22]-code) [i]
6Linear OA(4955, 2461, F49, 21) (dual of [2461, 2406, 22]-code) [i]
7Linear OA(4951, 2413, F49, 21) (dual of [2413, 2362, 22]-code) [i]✔Construction X with Cyclic Codes
8Linear OA(4946, 2407, F49, 23) (dual of [2407, 2361, 24]-code) [i]✔
9Linear OA(4942, 2407, F49, 21) (dual of [2407, 2365, 22]-code) [i]✔
10Linear OA(4952, 2413, F49, 25) (dual of [2413, 2361, 26]-code) [i]✔
11Linear OA(4944, 2413, F49, 21) (dual of [2413, 2369, 22]-code) [i]✔
12Linear OA(4946, 2419, F49, 21) (dual of [2419, 2373, 22]-code) [i]✔
13Linear OA(4948, 2425, F49, 21) (dual of [2425, 2377, 22]-code) [i]✔
14Linear OA(4950, 2431, F49, 21) (dual of [2431, 2381, 22]-code) [i]✔
15Linear OOA(4941, 1201, F49, 2, 21) (dual of [(1201, 2), 2361, 22]-NRT-code) [i]OOA Folding