Information on Result #677901

Linear OA(4155, 4194304, F4, 19) (dual of [4194304, 4194149, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(4167, 4194316, F4, 21) (dual of [4194316, 4194149, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4155, 4194315, F4, 19) (dual of [4194315, 4194160, 20]-code) [i]✔
3Linear OA(4180, 4194325, F4, 22) (dual of [4194325, 4194145, 23]-code) [i]✔
4Linear OA(4181, 4194330, F4, 22) (dual of [4194330, 4194149, 23]-code) [i]✔
5Linear OA(4193, 4194342, F4, 23) (dual of [4194342, 4194149, 24]-code) [i]✔
6Linear OA(4160, 4194342, F4, 19) (dual of [4194342, 4194182, 20]-code) [i]✔
7Linear OA(4162, 4194347, F4, 19) (dual of [4194347, 4194185, 20]-code) [i]✔
8Linear OA(4163, 4194356, F4, 19) (dual of [4194356, 4194193, 20]-code) [i]✔
9Linear OA(4223, 4194368, F4, 26) (dual of [4194368, 4194145, 27]-code) [i]✔
10Linear OA(4226, 4194375, F4, 26) (dual of [4194375, 4194149, 27]-code) [i]✔
11Linear OA(4165, 4194368, F4, 19) (dual of [4194368, 4194203, 20]-code) [i]✔
12Linear OA(4167, 4194371, F4, 19) (dual of [4194371, 4194204, 20]-code) [i]✔
13Linear OA(4223, 4194372, F4, 26) (dual of [4194372, 4194149, 27]-code) [i]✔
14Linear OA(4166, 4194370, F4, 19) (dual of [4194370, 4194204, 20]-code) [i]✔
15Linear OA(4251, 4194391, F4, 28) (dual of [4194391, 4194140, 29]-code) [i]✔