Information on Result #678624

Linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(4153, 65544, F4, 26) (dual of [65544, 65391, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4146, 65545, F4, 25) (dual of [65545, 65399, 26]-code) [i]✔
3Linear OA(4146, 65553, F4, 24) (dual of [65553, 65407, 25]-code) [i]✔
4Linear OA(4148, 65555, F4, 25) (dual of [65555, 65407, 26]-code) [i]✔
5Linear OA(4174, 65565, F4, 29) (dual of [65565, 65391, 30]-code) [i]✔
6Linear OA(4172, 65557, F4, 28) (dual of [65557, 65385, 29]-code) [i]✔
7Linear OA(4150, 65565, F4, 25) (dual of [65565, 65415, 26]-code) [i]✔
8Linear OA(4148, 65557, F4, 24) (dual of [65557, 65409, 25]-code) [i]✔
9Linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code) [i]✔
10Linear OA(4195, 65586, F4, 31) (dual of [65586, 65391, 32]-code) [i]✔
11Linear OA(4158, 65589, F4, 25) (dual of [65589, 65431, 26]-code) [i]✔
12Linear OA(4155, 65586, F4, 24) (dual of [65586, 65431, 25]-code) [i]✔
13Linear OA(4222, 65613, F4, 34) (dual of [65613, 65391, 35]-code) [i]✔
14Linear OA(4220, 65605, F4, 34) (dual of [65605, 65385, 35]-code) [i]✔
15Linear OA(4221, 65609, F4, 34) (dual of [65609, 65388, 35]-code) [i]✔
16Linear OA(4194, 65585, F4, 31) (dual of [65585, 65391, 32]-code) [i]✔
17Linear OA(4157, 65582, F4, 25) (dual of [65582, 65425, 26]-code) [i]✔
18Linear OA(4154, 65585, F4, 24) (dual of [65585, 65431, 25]-code) [i]✔
19Linear OA(4219, 65604, F4, 34) (dual of [65604, 65385, 35]-code) [i]✔
20Linear OA(4220, 65611, F4, 34) (dual of [65611, 65391, 35]-code) [i]✔
21Linear OA(4183, 65567, F4, 30) (dual of [65567, 65384, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(4173, 65557, F4, 29) (dual of [65557, 65384, 30]-code) [i]✔
23Linear OA(4171, 65555, F4, 28) (dual of [65555, 65384, 29]-code) [i]✔
24Linear OA(4177, 65570, F4, 29) (dual of [65570, 65393, 30]-code) [i]✔
25Linear OA(4176, 65568, F4, 29) (dual of [65568, 65392, 30]-code) [i]✔
26Linear OA(4165, 65558, F4, 27) (dual of [65558, 65393, 28]-code) [i]✔
27Linear OA(4155, 65547, F4, 26) (dual of [65547, 65392, 27]-code) [i]✔
28Linear OA(4147, 65547, F4, 25) (dual of [65547, 65400, 26]-code) [i]✔
29Linear OA(4149, 65557, F4, 25) (dual of [65557, 65408, 26]-code) [i]✔
30Linear OA(4147, 65555, F4, 24) (dual of [65555, 65408, 25]-code) [i]✔
31Linear OA(4153, 65570, F4, 25) (dual of [65570, 65417, 26]-code) [i]✔
32Linear OA(4152, 65568, F4, 25) (dual of [65568, 65416, 26]-code) [i]✔
33Linear OA(4146, 65562, F4, 23) (dual of [65562, 65416, 24]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
34Linear OOA(4145, 32768, F4, 2, 25) (dual of [(32768, 2), 65391, 26]-NRT-code) [i]OOA Folding
35Linear OOA(4145, 21845, F4, 3, 25) (dual of [(21845, 3), 65390, 26]-NRT-code) [i]
36Linear OOA(4145, 5461, F4, 25, 25) (dual of [(5461, 25), 136380, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row