Information on Result #613129

Linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

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(4252, 65556, F4, 39) (dual of [65556, 65304, 40]-code) [i](u, u+v)-Construction
2Linear OA(4256, 65561, F4, 39) (dual of [65561, 65305, 40]-code) [i]
3Linear OA(4257, 65563, F4, 39) (dual of [65563, 65306, 40]-code) [i]
4Linear OA(4259, 65566, F4, 39) (dual of [65566, 65307, 40]-code) [i]
5Linear OA(4260, 65564, F4, 39) (dual of [65564, 65304, 40]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4242, 65545, F4, 41) (dual of [65545, 65303, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4233, 65544, F4, 39) (dual of [65544, 65311, 40]-code) [i]✔
8Linear OA(4252, 65555, F4, 42) (dual of [65555, 65303, 43]-code) [i]✔
9Linear OA(4234, 65553, F4, 39) (dual of [65553, 65319, 40]-code) [i]✔
10Linear OA(4238, 65565, F4, 39) (dual of [65565, 65327, 40]-code) [i]✔
11Linear OA(4240, 65575, F4, 39) (dual of [65575, 65335, 40]-code) [i]✔
12Linear OA(4243, 65586, F4, 39) (dual of [65586, 65343, 40]-code) [i]✔
13Linear OA(4249, 65600, F4, 39) (dual of [65600, 65351, 40]-code) [i]✔
14Linear OA(4254, 65613, F4, 39) (dual of [65613, 65359, 40]-code) [i]✔
15Linear OA(4255, 65621, F4, 39) (dual of [65621, 65366, 40]-code) [i]✔
16Linear OA(4258, 65625, F4, 39) (dual of [65625, 65367, 40]-code) [i]✔
17Linear OA(4252, 65605, F4, 39) (dual of [65605, 65353, 40]-code) [i]✔
18Linear OA(4253, 65609, F4, 39) (dual of [65609, 65356, 40]-code) [i]✔
19Linear OA(4256, 65623, F4, 39) (dual of [65623, 65367, 40]-code) [i]✔
20Linear OA(4242, 65585, F4, 39) (dual of [65585, 65343, 40]-code) [i]✔
21Linear OA(4247, 65598, F4, 39) (dual of [65598, 65351, 40]-code) [i]✔
22Linear OA(4251, 65604, F4, 39) (dual of [65604, 65353, 40]-code) [i]✔
23Linear OA(4252, 65611, F4, 39) (dual of [65611, 65359, 40]-code) [i]✔
24Linear OA(4254, 65621, F4, 39) (dual of [65621, 65367, 40]-code) [i]✔
25Linear OA(4251, 65547, F4, 42) (dual of [65547, 65296, 43]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(4253, 65557, F4, 42) (dual of [65557, 65304, 43]-code) [i]✔
27Linear OA(4243, 65547, F4, 41) (dual of [65547, 65304, 42]-code) [i]✔
28Linear OA(4237, 65558, F4, 39) (dual of [65558, 65321, 40]-code) [i]✔
29Linear OA(4236, 65556, F4, 39) (dual of [65556, 65320, 40]-code) [i]✔
30Linear OA(4239, 65567, F4, 39) (dual of [65567, 65328, 40]-code) [i]✔
31Linear OOA(4233, 3449, F4, 39, 39) (dual of [(3449, 39), 134278, 40]-NRT-code) [i]OOA Folding and Stacking with Additional Row