Information on Result #612993

Linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(4258, 4194320, F4, 30) (dual of [4194320, 4194062, 31]-code) [i](u, u+v)-Construction
2Linear OA(4254, 4194315, F4, 31) (dual of [4194315, 4194061, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(4243, 4194315, F4, 30) (dual of [4194315, 4194072, 31]-code) [i]✔
4Linear OA(4246, 4194325, F4, 30) (dual of [4194325, 4194079, 31]-code) [i]✔
5Linear OA(4247, 4194330, F4, 30) (dual of [4194330, 4194083, 31]-code) [i]✔
6Linear OA(4248, 4194342, F4, 30) (dual of [4194342, 4194094, 31]-code) [i]✔
7Linear OA(4250, 4194347, F4, 30) (dual of [4194347, 4194097, 31]-code) [i]✔
8Linear OA(4251, 4194356, F4, 30) (dual of [4194356, 4194105, 31]-code) [i]✔
9Linear OA(4256, 4194368, F4, 30) (dual of [4194368, 4194112, 31]-code) [i]✔
10Linear OA(4259, 4194375, F4, 30) (dual of [4194375, 4194116, 31]-code) [i]✔
11Linear OA(4256, 4194372, F4, 30) (dual of [4194372, 4194116, 31]-code) [i]✔
12Linear OA(4258, 4194385, F4, 30) (dual of [4194385, 4194127, 31]-code) [i]✔
13Linear OA(4244, 4194339, F4, 28) (dual of [4194339, 4194095, 29]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes