Information on Result #612662

Linear OA(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(483, 4194310, F4, 10) (dual of [4194310, 4194227, 11]-code) [i](u, u+v)-Construction
2Linear OA(484, 4194316, F4, 10) (dual of [4194316, 4194232, 11]-code) [i]
3Linear OA(489, 4194315, F4, 11) (dual of [4194315, 4194226, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(478, 4194315, F4, 10) (dual of [4194315, 4194237, 11]-code) [i]✔
5Linear OA(4101, 4194327, F4, 12) (dual of [4194327, 4194226, 13]-code) [i]✔
6Linear OA(4103, 4194325, F4, 13) (dual of [4194325, 4194222, 14]-code) [i]✔
7Linear OA(4104, 4194330, F4, 13) (dual of [4194330, 4194226, 14]-code) [i]✔
8Linear OA(481, 4194325, F4, 10) (dual of [4194325, 4194244, 11]-code) [i]✔
9Linear OA(482, 4194330, F4, 10) (dual of [4194330, 4194248, 11]-code) [i]✔
10Linear OA(4116, 4194342, F4, 14) (dual of [4194342, 4194226, 15]-code) [i]✔
11Linear OA(483, 4194342, F4, 10) (dual of [4194342, 4194259, 11]-code) [i]✔
12Linear OA(4129, 4194347, F4, 15) (dual of [4194347, 4194218, 16]-code) [i]✔
13Linear OA(4130, 4194356, F4, 15) (dual of [4194356, 4194226, 16]-code) [i]✔
14Linear OA(4143, 4194368, F4, 16) (dual of [4194368, 4194225, 17]-code) [i]✔
15Linear OA(479, 4194317, F4, 10) (dual of [4194317, 4194238, 11]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
16Linear OA(4101, 4194328, F4, 12) (dual of [4194328, 4194227, 13]-code) [i]✔