Information on Result #677904

Linear OA(4133, 4194304, F4, 17) (dual of [4194304, 4194171, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(4144, 4194315, F4, 18) (dual of [4194315, 4194171, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4134, 4194316, F4, 17) (dual of [4194316, 4194182, 18]-code) [i]✔
3Linear OA(4134, 4194327, F4, 16) (dual of [4194327, 4194193, 17]-code) [i]✔
4Linear OA(4136, 4194325, F4, 17) (dual of [4194325, 4194189, 18]-code) [i]✔
5Linear OA(4137, 4194330, F4, 17) (dual of [4194330, 4194193, 18]-code) [i]✔
6Linear OA(4171, 4194342, F4, 21) (dual of [4194342, 4194171, 22]-code) [i]✔
7Linear OA(4138, 4194342, F4, 17) (dual of [4194342, 4194204, 18]-code) [i]✔
8Linear OA(4184, 4194347, F4, 22) (dual of [4194347, 4194163, 23]-code) [i]✔
9Linear OA(4185, 4194356, F4, 22) (dual of [4194356, 4194171, 23]-code) [i]✔
10Linear OA(4198, 4194368, F4, 23) (dual of [4194368, 4194170, 24]-code) [i]✔
11Linear OA(4200, 4194371, F4, 23) (dual of [4194371, 4194171, 24]-code) [i]✔
12Linear OA(4143, 4194368, F4, 16) (dual of [4194368, 4194225, 17]-code) [i]✔
13Linear OA(4199, 4194370, F4, 23) (dual of [4194370, 4194171, 24]-code) [i]✔
14Linear OA(4134, 4194328, F4, 16) (dual of [4194328, 4194194, 17]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
15Linear OOA(4133, 2097152, F4, 2, 17) (dual of [(2097152, 2), 4194171, 18]-NRT-code) [i]OOA Folding
16Linear OOA(4133, 1398101, F4, 3, 17) (dual of [(1398101, 3), 4194170, 18]-NRT-code) [i]