Information on Result #613280

Linear OA(4229, 1366, F4, 53) (dual of [1366, 1137, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53

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(4228, 1365, F4, 52) (dual of [1365, 1137, 53]-code) [i]Truncation
2Linear OA(4235, 1372, F4, 54) (dual of [1372, 1137, 55]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(4230, 1373, F4, 53) (dual of [1373, 1143, 54]-code) [i]✔
4Linear OA(4242, 1379, F4, 55) (dual of [1379, 1137, 56]-code) [i]✔
5Linear OA(4230, 1379, F4, 52) (dual of [1379, 1149, 53]-code) [i]✔
6Linear OA(4232, 1381, F4, 53) (dual of [1381, 1149, 54]-code) [i]✔
7Linear OA(4251, 1383, F4, 57) (dual of [1383, 1132, 58]-code) [i]✔
8Linear OA(4252, 1389, F4, 57) (dual of [1389, 1137, 58]-code) [i]✔
9Linear OA(4250, 1387, F4, 56) (dual of [1387, 1137, 57]-code) [i]✔
10Linear OA(4233, 1383, F4, 53) (dual of [1383, 1150, 54]-code) [i]✔
11Linear OA(4234, 1389, F4, 53) (dual of [1389, 1155, 54]-code) [i]✔
12Linear OA(4232, 1387, F4, 52) (dual of [1387, 1155, 53]-code) [i]✔
13Linear OA(4249, 1381, F4, 56) (dual of [1381, 1132, 57]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(4245, 1384, F4, 55) (dual of [1384, 1139, 56]-code) [i]✔
15Linear OA(4244, 1382, F4, 55) (dual of [1382, 1138, 56]-code) [i]✔
16Linear OA(4237, 1375, F4, 54) (dual of [1375, 1138, 55]-code) [i]✔
17Linear OA(4231, 1375, F4, 53) (dual of [1375, 1144, 54]-code) [i]✔
18Linear OA(4231, 1381, F4, 52) (dual of [1381, 1150, 53]-code) [i]✔
19Linear OOA(4229, 683, F4, 2, 53) (dual of [(683, 2), 1137, 54]-NRT-code) [i]OOA Folding