Information on Result #613116

Linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38

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(4244, 65556, F4, 38) (dual of [65556, 65312, 39]-code) [i](u, u+v)-Construction
2Linear OA(4248, 65561, F4, 38) (dual of [65561, 65313, 39]-code) [i]
3Linear OA(4249, 65563, F4, 38) (dual of [65563, 65314, 39]-code) [i]
4Linear OA(4251, 65566, F4, 38) (dual of [65566, 65315, 39]-code) [i]
5Linear OA(4250, 65562, F4, 38) (dual of [65562, 65312, 39]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4233, 65544, F4, 39) (dual of [65544, 65311, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4225, 65544, F4, 38) (dual of [65544, 65319, 39]-code) [i]✔
8Linear OA(4242, 65553, F4, 40) (dual of [65553, 65311, 41]-code) [i]✔
9Linear OA(4244, 65555, F4, 41) (dual of [65555, 65311, 42]-code) [i]✔
10Linear OA(4228, 65555, F4, 38) (dual of [65555, 65327, 39]-code) [i]✔
11Linear OA(4254, 65565, F4, 42) (dual of [65565, 65311, 43]-code) [i]✔
12Linear OA(4230, 65565, F4, 38) (dual of [65565, 65335, 39]-code) [i]✔
13Linear OA(4232, 65575, F4, 38) (dual of [65575, 65343, 39]-code) [i]✔
14Linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code) [i]✔
15Linear OA(4241, 65600, F4, 38) (dual of [65600, 65359, 39]-code) [i]✔
16Linear OA(4246, 65613, F4, 38) (dual of [65613, 65367, 39]-code) [i]✔
17Linear OA(4251, 65621, F4, 38) (dual of [65621, 65370, 39]-code) [i]✔
18Linear OA(4244, 65605, F4, 38) (dual of [65605, 65361, 39]-code) [i]✔
19Linear OA(4245, 65609, F4, 38) (dual of [65609, 65364, 39]-code) [i]✔
20Linear OA(4251, 65625, F4, 38) (dual of [65625, 65374, 39]-code) [i]✔
21Linear OA(4252, 65627, F4, 38) (dual of [65627, 65375, 39]-code) [i]✔
22Linear OA(4239, 65598, F4, 38) (dual of [65598, 65359, 39]-code) [i]✔
23Linear OA(4243, 65604, F4, 38) (dual of [65604, 65361, 39]-code) [i]✔
24Linear OA(4244, 65611, F4, 38) (dual of [65611, 65367, 39]-code) [i]✔
25Linear OA(4248, 65621, F4, 38) (dual of [65621, 65373, 39]-code) [i]✔
26Linear OA(4249, 65624, F4, 38) (dual of [65624, 65375, 39]-code) [i]✔
27Linear OA(4252, 65629, F4, 38) (dual of [65629, 65377, 39]-code) [i]✔
28Linear OA(4253, 65557, F4, 42) (dual of [65557, 65304, 43]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(4255, 65567, F4, 42) (dual of [65567, 65312, 43]-code) [i]✔
30Linear OA(4243, 65547, F4, 41) (dual of [65547, 65304, 42]-code) [i]✔
31Linear OA(4245, 65557, F4, 41) (dual of [65557, 65312, 42]-code) [i]✔
32Linear OA(4243, 65555, F4, 40) (dual of [65555, 65312, 41]-code) [i]✔
33Linear OA(4227, 65547, F4, 38) (dual of [65547, 65320, 39]-code) [i]✔
34Linear OA(4229, 65557, F4, 38) (dual of [65557, 65328, 39]-code) [i]✔
35Linear OA(4231, 65567, F4, 38) (dual of [65567, 65336, 39]-code) [i]✔
36Linear OOA(4225, 3449, F4, 38, 38) (dual of [(3449, 38), 130837, 39]-NRT-code) [i]OA Folding and Stacking