Information on Result #613246

Linear OA(4211, 1366, F4, 49) (dual of [1366, 1155, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

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(4210, 1365, F4, 48) (dual of [1365, 1155, 49]-code) [i]Truncation
2Linear OA(4217, 1372, F4, 50) (dual of [1372, 1155, 51]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(4212, 1373, F4, 49) (dual of [1373, 1161, 50]-code) [i]✔
4Linear OA(4224, 1379, F4, 51) (dual of [1379, 1155, 52]-code) [i]✔
5Linear OA(4212, 1379, F4, 48) (dual of [1379, 1167, 49]-code) [i]✔
6Linear OA(4214, 1381, F4, 49) (dual of [1381, 1167, 50]-code) [i]✔
7Linear OA(4233, 1383, F4, 53) (dual of [1383, 1150, 54]-code) [i]✔
8Linear OA(4234, 1389, F4, 53) (dual of [1389, 1155, 54]-code) [i]✔
9Linear OA(4232, 1387, F4, 52) (dual of [1387, 1155, 53]-code) [i]✔
10Linear OA(4215, 1383, F4, 49) (dual of [1383, 1168, 50]-code) [i]✔
11Linear OA(4216, 1389, F4, 49) (dual of [1389, 1173, 50]-code) [i]✔
12Linear OA(4214, 1387, F4, 48) (dual of [1387, 1173, 49]-code) [i]✔
13Linear OA(4231, 1381, F4, 52) (dual of [1381, 1150, 53]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(4227, 1384, F4, 51) (dual of [1384, 1157, 52]-code) [i]✔
15Linear OA(4226, 1382, F4, 51) (dual of [1382, 1156, 52]-code) [i]✔
16Linear OA(4219, 1375, F4, 50) (dual of [1375, 1156, 51]-code) [i]✔
17Linear OA(4213, 1375, F4, 49) (dual of [1375, 1162, 50]-code) [i]✔
18Linear OA(4213, 1381, F4, 48) (dual of [1381, 1168, 49]-code) [i]✔
19Linear OOA(4211, 683, F4, 2, 49) (dual of [(683, 2), 1155, 50]-NRT-code) [i]OOA Folding