Information on Result #612990

Linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(4192, 65552, F4, 30) (dual of [65552, 65360, 31]-code) [i](u, u+v)-Construction
2Linear OA(4195, 65557, F4, 30) (dual of [65557, 65362, 31]-code) [i]
3Linear OA(4196, 65559, F4, 30) (dual of [65559, 65363, 31]-code) [i]
4Linear OA(4198, 65563, F4, 30) (dual of [65563, 65365, 31]-code) [i]
5Linear OA(4198, 65558, F4, 30) (dual of [65558, 65360, 31]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4185, 65544, F4, 31) (dual of [65544, 65359, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4177, 65544, F4, 30) (dual of [65544, 65367, 31]-code) [i]✔
8Linear OA(4194, 65553, F4, 32) (dual of [65553, 65359, 33]-code) [i]✔
9Linear OA(4196, 65555, F4, 33) (dual of [65555, 65359, 34]-code) [i]✔
10Linear OA(4180, 65555, F4, 30) (dual of [65555, 65375, 31]-code) [i]✔
11Linear OA(4206, 65565, F4, 34) (dual of [65565, 65359, 35]-code) [i]✔
12Linear OA(4182, 65565, F4, 30) (dual of [65565, 65383, 31]-code) [i]✔
13Linear OA(4216, 65575, F4, 35) (dual of [65575, 65359, 36]-code) [i]✔
14Linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code) [i]✔
15Linear OA(4230, 65589, F4, 37) (dual of [65589, 65359, 38]-code) [i]✔
16Linear OA(4227, 65586, F4, 36) (dual of [65586, 65359, 37]-code) [i]✔
17Linear OA(4190, 65589, F4, 30) (dual of [65589, 65399, 31]-code) [i]✔
18Linear OA(4241, 65600, F4, 38) (dual of [65600, 65359, 39]-code) [i]✔
19Linear OA(4193, 65600, F4, 30) (dual of [65600, 65407, 31]-code) [i]✔
20Linear OA(4254, 65613, F4, 39) (dual of [65613, 65359, 40]-code) [i]✔
21Linear OA(4198, 65613, F4, 30) (dual of [65613, 65415, 31]-code) [i]✔
22Linear OA(4252, 65605, F4, 39) (dual of [65605, 65353, 40]-code) [i]✔
23Linear OA(4253, 65609, F4, 39) (dual of [65609, 65356, 40]-code) [i]✔
24Linear OA(4196, 65605, F4, 30) (dual of [65605, 65409, 31]-code) [i]✔
25Linear OA(4197, 65609, F4, 30) (dual of [65609, 65412, 31]-code) [i]✔
26Linear OA(4229, 65582, F4, 37) (dual of [65582, 65353, 38]-code) [i]✔
27Linear OA(4226, 65585, F4, 36) (dual of [65585, 65359, 37]-code) [i]✔
28Linear OA(4239, 65598, F4, 38) (dual of [65598, 65359, 39]-code) [i]✔
29Linear OA(4191, 65598, F4, 30) (dual of [65598, 65407, 31]-code) [i]✔
30Linear OA(4251, 65604, F4, 39) (dual of [65604, 65353, 40]-code) [i]✔
31Linear OA(4252, 65611, F4, 39) (dual of [65611, 65359, 40]-code) [i]✔
32Linear OA(4195, 65604, F4, 30) (dual of [65604, 65409, 31]-code) [i]✔
33Linear OA(4196, 65611, F4, 30) (dual of [65611, 65415, 31]-code) [i]✔
34Linear OA(4215, 65567, F4, 35) (dual of [65567, 65352, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(4205, 65557, F4, 34) (dual of [65557, 65352, 35]-code) [i]✔
36Linear OA(4207, 65567, F4, 34) (dual of [65567, 65360, 35]-code) [i]✔
37Linear OA(4195, 65547, F4, 33) (dual of [65547, 65352, 34]-code) [i]✔
38Linear OA(4197, 65557, F4, 33) (dual of [65557, 65360, 34]-code) [i]✔
39Linear OA(4195, 65555, F4, 32) (dual of [65555, 65360, 33]-code) [i]✔
40Linear OA(4179, 65547, F4, 30) (dual of [65547, 65368, 31]-code) [i]✔
41Linear OA(4181, 65557, F4, 30) (dual of [65557, 65376, 31]-code) [i]✔
42Linear OA(4183, 65567, F4, 30) (dual of [65567, 65384, 31]-code) [i]✔
43Linear OOA(4177, 4369, F4, 30, 30) (dual of [(4369, 30), 130893, 31]-NRT-code) [i]OA Folding and Stacking