Information on Result #612892

Linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(4148, 65548, F4, 23) (dual of [65548, 65400, 24]-code) [i](u, u+v)-Construction
2Linear OA(4150, 65553, F4, 23) (dual of [65553, 65403, 24]-code) [i]
3Linear OA(4152, 65566, F4, 23) (dual of [65566, 65414, 24]-code) [i]
4Linear OA(4152, 65552, F4, 23) (dual of [65552, 65400, 24]-code) [i](u, u−v, u+v+w)-Construction
5Linear OA(4146, 65545, F4, 25) (dual of [65545, 65399, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(4137, 65544, F4, 23) (dual of [65544, 65407, 24]-code) [i]✔
7Linear OA(4156, 65555, F4, 26) (dual of [65555, 65399, 27]-code) [i]✔
8Linear OA(4138, 65553, F4, 23) (dual of [65553, 65415, 24]-code) [i]✔
9Linear OA(4166, 65565, F4, 27) (dual of [65565, 65399, 28]-code) [i]✔
10Linear OA(4142, 65565, F4, 23) (dual of [65565, 65423, 24]-code) [i]✔
11Linear OA(4179, 65578, F4, 29) (dual of [65578, 65399, 30]-code) [i]✔
12Linear OA(4176, 65575, F4, 28) (dual of [65575, 65399, 29]-code) [i]✔
13Linear OA(4144, 65575, F4, 23) (dual of [65575, 65431, 24]-code) [i]✔
14Linear OA(4190, 65589, F4, 30) (dual of [65589, 65399, 31]-code) [i]✔
15Linear OA(4147, 65586, F4, 23) (dual of [65586, 65439, 24]-code) [i]✔
16Linear OA(4201, 65600, F4, 31) (dual of [65600, 65399, 32]-code) [i]✔
17Linear OA(4153, 65600, F4, 23) (dual of [65600, 65447, 24]-code) [i]✔
18Linear OA(4215, 65614, F4, 33) (dual of [65614, 65399, 34]-code) [i]✔
19Linear OA(4178, 65572, F4, 29) (dual of [65572, 65394, 30]-code) [i]✔
20Linear OA(4214, 65608, F4, 33) (dual of [65608, 65394, 34]-code) [i]✔
21Linear OA(4212, 65605, F4, 32) (dual of [65605, 65393, 33]-code) [i]✔
22Linear OA(4213, 65609, F4, 32) (dual of [65609, 65396, 33]-code) [i]✔
23Linear OA(4178, 65577, F4, 29) (dual of [65577, 65399, 30]-code) [i]✔
24Linear OA(4146, 65585, F4, 23) (dual of [65585, 65439, 24]-code) [i]✔
25Linear OA(4199, 65598, F4, 31) (dual of [65598, 65399, 32]-code) [i]✔
26Linear OA(4151, 65598, F4, 23) (dual of [65598, 65447, 24]-code) [i]✔
27Linear OA(4214, 65613, F4, 33) (dual of [65613, 65399, 34]-code) [i]✔
28Linear OA(4212, 65611, F4, 32) (dual of [65611, 65399, 33]-code) [i]✔
29Linear OA(4224, 65621, F4, 34) (dual of [65621, 65397, 35]-code) [i]✔
30Linear OA(4225, 65624, F4, 34) (dual of [65624, 65399, 35]-code) [i]✔
31Linear OA(4177, 65570, F4, 29) (dual of [65570, 65393, 30]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(4176, 65568, F4, 29) (dual of [65568, 65392, 30]-code) [i]✔
33Linear OA(4165, 65558, F4, 27) (dual of [65558, 65393, 28]-code) [i]✔
34Linear OA(4167, 65567, F4, 27) (dual of [65567, 65400, 28]-code) [i]✔
35Linear OA(4155, 65547, F4, 26) (dual of [65547, 65392, 27]-code) [i]✔
36Linear OA(4157, 65557, F4, 26) (dual of [65557, 65400, 27]-code) [i]✔
37Linear OA(4147, 65547, F4, 25) (dual of [65547, 65400, 26]-code) [i]✔
38Linear OA(4141, 65558, F4, 23) (dual of [65558, 65417, 24]-code) [i]✔
39Linear OA(4140, 65556, F4, 23) (dual of [65556, 65416, 24]-code) [i]✔
40Linear OA(4143, 65567, F4, 23) (dual of [65567, 65424, 24]-code) [i]✔