Information on Result #678616

Linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

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 OA(4201, 65544, F4, 34) (dual of [65544, 65343, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4194, 65545, F4, 33) (dual of [65545, 65351, 34]-code) [i]✔
3Linear OA(4194, 65553, F4, 32) (dual of [65553, 65359, 33]-code) [i]✔
4Linear OA(4196, 65555, F4, 33) (dual of [65555, 65359, 34]-code) [i]✔
5Linear OA(4222, 65565, F4, 37) (dual of [65565, 65343, 38]-code) [i]✔
6Linear OA(4220, 65557, F4, 36) (dual of [65557, 65337, 37]-code) [i]✔
7Linear OA(4198, 65565, F4, 33) (dual of [65565, 65367, 34]-code) [i]✔
8Linear OA(4196, 65557, F4, 32) (dual of [65557, 65361, 33]-code) [i]✔
9Linear OA(4232, 65575, F4, 38) (dual of [65575, 65343, 39]-code) [i]✔
10Linear OA(4243, 65586, F4, 39) (dual of [65586, 65343, 40]-code) [i]✔
11Linear OA(4206, 65589, F4, 33) (dual of [65589, 65383, 34]-code) [i]✔
12Linear OA(4203, 65586, F4, 32) (dual of [65586, 65383, 33]-code) [i]✔
13Linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code) [i]✔
14Linear OA(4215, 65621, F4, 32) (dual of [65621, 65406, 33]-code) [i]✔
15Linear OA(4214, 65608, F4, 33) (dual of [65608, 65394, 34]-code) [i]✔
16Linear OA(4212, 65605, F4, 32) (dual of [65605, 65393, 33]-code) [i]✔
17Linear OA(4213, 65609, F4, 32) (dual of [65609, 65396, 33]-code) [i]✔
18Linear OA(4242, 65585, F4, 39) (dual of [65585, 65343, 40]-code) [i]✔
19Linear OA(4205, 65582, F4, 33) (dual of [65582, 65377, 34]-code) [i]✔
20Linear OA(4202, 65585, F4, 32) (dual of [65585, 65383, 33]-code) [i]✔
21Linear OA(4214, 65613, F4, 33) (dual of [65613, 65399, 34]-code) [i]✔
22Linear OA(4212, 65611, F4, 32) (dual of [65611, 65399, 33]-code) [i]✔
23Linear OA(4216, 65621, F4, 33) (dual of [65621, 65405, 34]-code) [i]✔
24Linear OA(4214, 65621, F4, 32) (dual of [65621, 65407, 33]-code) [i]✔
25Linear OA(4231, 65567, F4, 38) (dual of [65567, 65336, 39]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(4221, 65557, F4, 37) (dual of [65557, 65336, 38]-code) [i]✔
27Linear OA(4219, 65555, F4, 36) (dual of [65555, 65336, 37]-code) [i]✔
28Linear OA(4225, 65570, F4, 37) (dual of [65570, 65345, 38]-code) [i]✔
29Linear OA(4224, 65568, F4, 37) (dual of [65568, 65344, 38]-code) [i]✔
30Linear OA(4213, 65558, F4, 35) (dual of [65558, 65345, 36]-code) [i]✔
31Linear OA(4203, 65547, F4, 34) (dual of [65547, 65344, 35]-code) [i]✔
32Linear OA(4195, 65547, F4, 33) (dual of [65547, 65352, 34]-code) [i]✔
33Linear OA(4197, 65557, F4, 33) (dual of [65557, 65360, 34]-code) [i]✔
34Linear OA(4195, 65555, F4, 32) (dual of [65555, 65360, 33]-code) [i]✔
35Linear OA(4201, 65570, F4, 33) (dual of [65570, 65369, 34]-code) [i]✔
36Linear OA(4200, 65568, F4, 33) (dual of [65568, 65368, 34]-code) [i]✔
37Linear OOA(4193, 32768, F4, 2, 33) (dual of [(32768, 2), 65343, 34]-NRT-code) [i]OOA Folding
38Linear OOA(4193, 21845, F4, 3, 33) (dual of [(21845, 3), 65342, 34]-NRT-code) [i]