Information on Result #612977

Linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(4210, 1048575, F4, 28) (dual of [1048575, 1048365, 29]-code) [i]Truncation
2Linear OA(4225, 1048591, F4, 29) (dual of [1048591, 1048366, 30]-code) [i](u, u+v)-Construction
3Linear OA(4228, 1048596, F4, 29) (dual of [1048596, 1048368, 30]-code) [i]
4Linear OA(4229, 1048598, F4, 29) (dual of [1048598, 1048369, 30]-code) [i]
5Linear OA(4231, 1048602, F4, 29) (dual of [1048602, 1048371, 30]-code) [i]
6Linear OA(4230, 1048596, F4, 29) (dual of [1048596, 1048366, 30]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(4221, 1048586, F4, 30) (dual of [1048586, 1048365, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(4212, 1048587, F4, 29) (dual of [1048587, 1048375, 30]-code) [i]✔
9Linear OA(4232, 1048597, F4, 31) (dual of [1048597, 1048365, 32]-code) [i]✔
10Linear OA(4212, 1048597, F4, 28) (dual of [1048597, 1048385, 29]-code) [i]✔
11Linear OA(4214, 1048597, F4, 29) (dual of [1048597, 1048383, 30]-code) [i]✔
12Linear OA(4215, 1048600, F4, 29) (dual of [1048600, 1048385, 30]-code) [i]✔
13Linear OA(4246, 1048611, F4, 33) (dual of [1048611, 1048365, 34]-code) [i]✔
14Linear OA(4216, 1048611, F4, 29) (dual of [1048611, 1048395, 30]-code) [i]✔
15Linear OA(4258, 1048619, F4, 34) (dual of [1048619, 1048361, 35]-code) [i]✔
16Linear OA(4259, 1048624, F4, 34) (dual of [1048624, 1048365, 35]-code) [i]✔
17Linear OA(4221, 1048626, F4, 29) (dual of [1048626, 1048405, 30]-code) [i]✔
18Linear OA(4218, 1048619, F4, 28) (dual of [1048619, 1048401, 29]-code) [i]✔
19Linear OA(4219, 1048624, F4, 28) (dual of [1048624, 1048405, 29]-code) [i]✔
20Linear OA(4224, 1048639, F4, 29) (dual of [1048639, 1048415, 30]-code) [i]✔
21Linear OA(4221, 1048636, F4, 28) (dual of [1048636, 1048415, 29]-code) [i]✔
22Linear OA(4228, 1048644, F4, 29) (dual of [1048644, 1048416, 30]-code) [i]✔
23Linear OA(4229, 1048654, F4, 29) (dual of [1048654, 1048425, 30]-code) [i]✔
24Linear OA(4224, 1048640, F4, 28) (dual of [1048640, 1048416, 29]-code) [i]✔
25Linear OA(4227, 1048652, F4, 28) (dual of [1048652, 1048425, 29]-code) [i]✔
26Linear OA(4227, 1048645, F4, 29) (dual of [1048645, 1048418, 30]-code) [i]✔
27Linear OA(4228, 1048648, F4, 29) (dual of [1048648, 1048420, 30]-code) [i]✔
28Linear OA(4224, 1048646, F4, 28) (dual of [1048646, 1048422, 29]-code) [i]✔
29Linear OA(4226, 1048649, F4, 28) (dual of [1048649, 1048423, 29]-code) [i]✔
30Linear OA(4220, 1048625, F4, 29) (dual of [1048625, 1048405, 30]-code) [i]✔
31Linear OA(4220, 1048627, F4, 28) (dual of [1048627, 1048407, 29]-code) [i]✔
32Linear OA(4225, 1048641, F4, 29) (dual of [1048641, 1048416, 30]-code) [i]✔
33Linear OA(4226, 1048651, F4, 29) (dual of [1048651, 1048425, 30]-code) [i]✔
34Linear OA(4230, 1048663, F4, 28) (dual of [1048663, 1048433, 29]-code) [i]✔
35Linear OA(4242, 1048608, F4, 31) (dual of [1048608, 1048366, 32]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
36Linear OOA(4211, 524288, F4, 2, 29) (dual of [(524288, 2), 1048365, 30]-NRT-code) [i]OOA Folding
37Linear OOA(4211, 349525, F4, 3, 29) (dual of [(349525, 3), 1048364, 30]-NRT-code) [i]
38Linear OOA(4211, 74898, F4, 29, 29) (dual of [(74898, 29), 2171831, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row