Information on Result #612822

Linear OA(4155, 4194305, F4, 19) (dual of [4194305, 4194150, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4166, 4194320, F4, 19) (dual of [4194320, 4194154, 20]-code) [i](u, u+v)-Construction
2Linear OA(4168, 4194333, F4, 19) (dual of [4194333, 4194165, 20]-code) [i]
3Linear OA(4163, 4194314, F4, 19) (dual of [4194314, 4194151, 20]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(4178, 4194328, F4, 21) (dual of [4194328, 4194150, 22]-code) [i]✔
5Linear OA(4156, 4194328, F4, 19) (dual of [4194328, 4194172, 20]-code) [i]✔
6Linear OA(4209, 4194359, F4, 25) (dual of [4194359, 4194150, 26]-code) [i]✔
7Linear OA(4206, 4194348, F4, 24) (dual of [4194348, 4194142, 25]-code) [i]✔
8Linear OA(4207, 4194357, F4, 24) (dual of [4194357, 4194150, 25]-code) [i]✔
9Linear OA(4204, 4194346, F4, 23) (dual of [4194346, 4194142, 24]-code) [i]✔
10Linear OA(4165, 4194359, F4, 19) (dual of [4194359, 4194194, 20]-code) [i]✔
11Linear OA(4237, 4194369, F4, 27) (dual of [4194369, 4194132, 28]-code) [i]✔
12Linear OA(4238, 4194373, F4, 27) (dual of [4194373, 4194135, 28]-code) [i]✔
13Linear OA(4239, 4194389, F4, 27) (dual of [4194389, 4194150, 28]-code) [i]✔
14Linear OA(4238, 4194377, F4, 27) (dual of [4194377, 4194139, 28]-code) [i]✔
15Linear OA(4208, 4194356, F4, 25) (dual of [4194356, 4194148, 26]-code) [i]✔
16Linear OA(4236, 4194386, F4, 27) (dual of [4194386, 4194150, 28]-code) [i]✔
17Linear OA(4178, 4194329, F4, 21) (dual of [4194329, 4194151, 22]-code) [i]✔Construction X4 with Cyclic Codes
18Linear OA(4156, 4194329, F4, 19) (dual of [4194329, 4194173, 20]-code) [i]✔