Information on Result #612920

Linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)

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(4180, 1048576, F4, 24) (dual of [1048576, 1048396, 25]-code) [i]Truncation
2Linear OA(4196, 1048595, F4, 25) (dual of [1048595, 1048399, 26]-code) [i](u, u+v)-Construction
3Linear OA(4197, 1048597, F4, 25) (dual of [1048597, 1048400, 26]-code) [i]
4Linear OA(4193, 1048590, F4, 25) (dual of [1048590, 1048397, 26]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4202, 1048598, F4, 27) (dual of [1048598, 1048396, 28]-code) [i]✔
6Linear OA(4182, 1048598, F4, 23) (dual of [1048598, 1048416, 24]-code) [i]✔
7Linear OA(4184, 1048583, F4, 25) (dual of [1048583, 1048399, 26]-code) [i]✔
8Linear OA(4185, 1048594, F4, 25) (dual of [1048594, 1048409, 26]-code) [i]✔
9Linear OA(4186, 1048602, F4, 25) (dual of [1048602, 1048416, 26]-code) [i]✔
10Linear OA(4184, 1048598, F4, 24) (dual of [1048598, 1048414, 25]-code) [i]✔
11Linear OA(4226, 1048618, F4, 29) (dual of [1048618, 1048392, 30]-code) [i]✔
12Linear OA(4227, 1048623, F4, 29) (dual of [1048623, 1048396, 30]-code) [i]✔
13Linear OA(4225, 1048621, F4, 28) (dual of [1048621, 1048396, 29]-code) [i]✔
14Linear OA(4191, 1048627, F4, 25) (dual of [1048627, 1048436, 26]-code) [i]✔
15Linear OA(4188, 1048620, F4, 24) (dual of [1048620, 1048432, 25]-code) [i]✔
16Linear OA(4189, 1048625, F4, 24) (dual of [1048625, 1048436, 25]-code) [i]✔
17Linear OA(4186, 1048618, F4, 23) (dual of [1048618, 1048432, 24]-code) [i]✔
18Linear OA(4187, 1048623, F4, 23) (dual of [1048623, 1048436, 24]-code) [i]✔
19Linear OA(4257, 1048641, F4, 33) (dual of [1048641, 1048384, 34]-code) [i]✔
20Linear OA(4258, 1048645, F4, 33) (dual of [1048645, 1048387, 34]-code) [i]✔
21Linear OA(4259, 1048655, F4, 33) (dual of [1048655, 1048396, 34]-code) [i]✔
22Linear OA(4254, 1048641, F4, 32) (dual of [1048641, 1048387, 33]-code) [i]✔
23Linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code) [i]✔
24Linear OA(4251, 1048641, F4, 31) (dual of [1048641, 1048390, 32]-code) [i]✔
25Linear OA(4253, 1048649, F4, 31) (dual of [1048649, 1048396, 32]-code) [i]✔
26Linear OA(4197, 1048641, F4, 25) (dual of [1048641, 1048444, 26]-code) [i]✔
27Linear OA(4198, 1048645, F4, 25) (dual of [1048645, 1048447, 26]-code) [i]✔
28Linear OA(4194, 1048641, F4, 24) (dual of [1048641, 1048447, 25]-code) [i]✔
29Linear OA(4197, 1048653, F4, 24) (dual of [1048653, 1048456, 25]-code) [i]✔
30Linear OA(4257, 1048646, F4, 33) (dual of [1048646, 1048389, 34]-code) [i]✔
31Linear OA(4258, 1048649, F4, 33) (dual of [1048649, 1048391, 34]-code) [i]✔
32Linear OA(4254, 1048647, F4, 32) (dual of [1048647, 1048393, 33]-code) [i]✔
33Linear OA(4197, 1048646, F4, 25) (dual of [1048646, 1048449, 26]-code) [i]✔
34Linear OA(4198, 1048649, F4, 25) (dual of [1048649, 1048451, 26]-code) [i]✔
35Linear OA(4194, 1048647, F4, 24) (dual of [1048647, 1048453, 25]-code) [i]✔
36Linear OA(4256, 1048650, F4, 32) (dual of [1048650, 1048394, 33]-code) [i]✔
37Linear OA(4190, 1048626, F4, 25) (dual of [1048626, 1048436, 26]-code) [i]✔
38Linear OA(4255, 1048642, F4, 33) (dual of [1048642, 1048387, 34]-code) [i]✔
39Linear OA(4256, 1048652, F4, 33) (dual of [1048652, 1048396, 34]-code) [i]✔
40Linear OA(4195, 1048642, F4, 25) (dual of [1048642, 1048447, 26]-code) [i]✔
41Linear OA(4196, 1048652, F4, 25) (dual of [1048652, 1048456, 26]-code) [i]✔