Information on Result #613050

Linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(4240, 1048576, F4, 32) (dual of [1048576, 1048336, 33]-code) [i]Truncation
2Linear OA(4257, 1048594, F4, 33) (dual of [1048594, 1048337, 34]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(4242, 1048598, F4, 31) (dual of [1048598, 1048356, 32]-code) [i]✔
4Linear OA(4244, 1048583, F4, 33) (dual of [1048583, 1048339, 34]-code) [i]✔
5Linear OA(4245, 1048594, F4, 33) (dual of [1048594, 1048349, 34]-code) [i]✔
6Linear OA(4246, 1048602, F4, 33) (dual of [1048602, 1048356, 34]-code) [i]✔
7Linear OA(4244, 1048598, F4, 32) (dual of [1048598, 1048354, 33]-code) [i]✔
8Linear OA(4251, 1048627, F4, 33) (dual of [1048627, 1048376, 34]-code) [i]✔
9Linear OA(4248, 1048620, F4, 32) (dual of [1048620, 1048372, 33]-code) [i]✔
10Linear OA(4249, 1048625, F4, 32) (dual of [1048625, 1048376, 33]-code) [i]✔
11Linear OA(4246, 1048618, F4, 31) (dual of [1048618, 1048372, 32]-code) [i]✔
12Linear OA(4247, 1048623, F4, 31) (dual of [1048623, 1048376, 32]-code) [i]✔
13Linear OA(4257, 1048641, F4, 33) (dual of [1048641, 1048384, 34]-code) [i]✔
14Linear OA(4258, 1048645, F4, 33) (dual of [1048645, 1048387, 34]-code) [i]✔
15Linear OA(4259, 1048655, F4, 33) (dual of [1048655, 1048396, 34]-code) [i]✔
16Linear OA(4254, 1048641, F4, 32) (dual of [1048641, 1048387, 33]-code) [i]✔
17Linear OA(4257, 1048653, F4, 32) (dual of [1048653, 1048396, 33]-code) [i]✔
18Linear OA(4251, 1048641, F4, 31) (dual of [1048641, 1048390, 32]-code) [i]✔
19Linear OA(4253, 1048649, F4, 31) (dual of [1048649, 1048396, 32]-code) [i]✔
20Linear OA(4257, 1048646, F4, 33) (dual of [1048646, 1048389, 34]-code) [i]✔
21Linear OA(4258, 1048649, F4, 33) (dual of [1048649, 1048391, 34]-code) [i]✔
22Linear OA(4254, 1048647, F4, 32) (dual of [1048647, 1048393, 33]-code) [i]✔
23Linear OA(4256, 1048650, F4, 32) (dual of [1048650, 1048394, 33]-code) [i]✔
24Linear OA(4250, 1048626, F4, 33) (dual of [1048626, 1048376, 34]-code) [i]✔
25Linear OA(4255, 1048642, F4, 33) (dual of [1048642, 1048387, 34]-code) [i]✔
26Linear OA(4256, 1048652, F4, 33) (dual of [1048652, 1048396, 34]-code) [i]✔
27Linear OOA(4241, 65536, F4, 33, 33) (dual of [(65536, 33), 2162447, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row