Information on Result #613208

Linear OA(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45

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(4193, 1366, F4, 44) (dual of [1366, 1173, 45]-code) [i]Strength Reduction
2Linear OA(4194, 1367, F4, 45) (dual of [1367, 1173, 46]-code) [i]Code Embedding in Larger Space
3Linear OA(4192, 1365, F4, 44) (dual of [1365, 1173, 45]-code) [i]Truncation
4Linear OA(4199, 1372, F4, 46) (dual of [1372, 1173, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4194, 1373, F4, 44) (dual of [1373, 1179, 45]-code) [i]✔
6Linear OA(4195, 1371, F4, 45) (dual of [1371, 1176, 46]-code) [i]✔
7Linear OA(4196, 1375, F4, 45) (dual of [1375, 1179, 46]-code) [i]✔
8Linear OA(4206, 1379, F4, 47) (dual of [1379, 1173, 48]-code) [i]✔
9Linear OA(4197, 1382, F4, 45) (dual of [1382, 1185, 46]-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(4213, 1381, F4, 48) (dual of [1381, 1168, 49]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(4210, 1385, F4, 47) (dual of [1385, 1175, 48]-code) [i]✔
15Linear OA(4209, 1383, F4, 47) (dual of [1383, 1174, 48]-code) [i]✔
16Linear OA(4202, 1376, F4, 46) (dual of [1376, 1174, 47]-code) [i]✔
17Linear OA(4195, 1375, F4, 44) (dual of [1375, 1180, 45]-code) [i]✔
18Linear OOA(4193, 683, F4, 2, 45) (dual of [(683, 2), 1173, 46]-NRT-code) [i]OOA Folding