Information on Result #679015

Linear OA(4253, 16384, F4, 49) (dual of [16384, 16131, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(4253, 10315, F4, 2, 49) (dual of [(10315, 2), 20377, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4253, 10315, F4, 3, 49) (dual of [(10315, 3), 30692, 50]-NRT-code) [i]
3Digital (204, 253, 10315)-net over F4 [i]
4Linear OA(4260, 16391, F4, 50) (dual of [16391, 16131, 51]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4254, 16392, F4, 49) (dual of [16392, 16138, 50]-code) [i]✔
6Linear OA(4254, 16399, F4, 48) (dual of [16399, 16145, 49]-code) [i]✔
7Linear OA(4256, 16401, F4, 49) (dual of [16401, 16145, 50]-code) [i]✔
8Linear OA(4258, 16410, F4, 49) (dual of [16410, 16152, 50]-code) [i]✔
9Linear OA(4256, 16405, F4, 48) (dual of [16405, 16149, 49]-code) [i]✔
10Linear OA(4255, 16394, F4, 49) (dual of [16394, 16139, 50]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(4257, 16403, F4, 49) (dual of [16403, 16146, 50]-code) [i]✔
12Linear OA(4255, 16401, F4, 48) (dual of [16401, 16146, 49]-code) [i]✔
13Linear OA(4260, 16413, F4, 49) (dual of [16413, 16153, 50]-code) [i]✔
14Linear OOA(4253, 8192, F4, 2, 49) (dual of [(8192, 2), 16131, 50]-NRT-code) [i]OOA Folding
15Linear OOA(4253, 5461, F4, 3, 49) (dual of [(5461, 3), 16130, 50]-NRT-code) [i]