Information on Result #618616

Linear OA(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(786, 4802, F7, 22) (dual of [4802, 4716, 23]-code) [i]Trace Code
2Linear OA(4954, 2451, F49, 22) (dual of [2451, 2397, 23]-code) [i](u, u+v)-Construction
3Linear OA(4955, 2454, F49, 22) (dual of [2454, 2399, 23]-code) [i]
4Linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4943, 2403, F49, 22) (dual of [2403, 2360, 23]-code) [i]✔
6Linear OA(4948, 2406, F49, 24) (dual of [2406, 2358, 25]-code) [i]✔
7Linear OA(4944, 2406, F49, 22) (dual of [2406, 2362, 23]-code) [i]✔
8Linear OA(4951, 2409, F49, 25) (dual of [2409, 2358, 26]-code) [i]✔
9Linear OA(4945, 2409, F49, 22) (dual of [2409, 2364, 23]-code) [i]✔
10Linear OA(4954, 2412, F49, 26) (dual of [2412, 2358, 27]-code) [i]✔
11Linear OA(4946, 2412, F49, 22) (dual of [2412, 2366, 23]-code) [i]✔
12Linear OA(4947, 2415, F49, 22) (dual of [2415, 2368, 23]-code) [i]✔
13Linear OA(4948, 2418, F49, 22) (dual of [2418, 2370, 23]-code) [i]✔
14Linear OA(4949, 2421, F49, 22) (dual of [2421, 2372, 23]-code) [i]✔
15Linear OA(4950, 2424, F49, 22) (dual of [2424, 2374, 23]-code) [i]✔
16Linear OA(4951, 2427, F49, 22) (dual of [2427, 2376, 23]-code) [i]✔
17Linear OA(4952, 2430, F49, 22) (dual of [2430, 2378, 23]-code) [i]✔
18Linear OA(4953, 2433, F49, 22) (dual of [2433, 2380, 23]-code) [i]✔