Information on Result #618779

Linear OA(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(858, 8194, F8, 15) (dual of [8194, 8136, 16]-code) [i]Trace Code
2Linear OA(6436, 4162, F64, 15) (dual of [4162, 4126, 16]-code) [i](u, u+v)-Construction
3Linear OA(6437, 4177, F64, 15) (dual of [4177, 4140, 16]-code) [i]
4Linear OA(6438, 4179, F64, 15) (dual of [4179, 4141, 16]-code) [i]
5Linear OA(6439, 4225, F64, 15) (dual of [4225, 4186, 16]-code) [i]
6Linear OA(6440, 4292, F64, 15) (dual of [4292, 4252, 16]-code) [i]
7Linear OA(6441, 4413, F64, 15) (dual of [4413, 4372, 16]-code) [i]
8Linear OA(6439, 4227, F64, 15) (dual of [4227, 4188, 16]-code) [i]
9Linear OA(6441, 4227, F64, 15) (dual of [4227, 4186, 16]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(6435, 4104, F64, 15) (dual of [4104, 4069, 16]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(6434, 4102, F64, 17) (dual of [4102, 4068, 18]-code) [i]✔
12Linear OA(6430, 4102, F64, 15) (dual of [4102, 4072, 16]-code) [i]✔
13Linear OA(6440, 4108, F64, 19) (dual of [4108, 4068, 20]-code) [i]✔
14Linear OA(6432, 4108, F64, 15) (dual of [4108, 4076, 16]-code) [i]✔
15Linear OA(6446, 4114, F64, 21) (dual of [4114, 4068, 22]-code) [i]✔
16Linear OA(6434, 4114, F64, 15) (dual of [4114, 4080, 16]-code) [i]✔
17Linear OA(6452, 4120, F64, 23) (dual of [4120, 4068, 24]-code) [i]✔
18Linear OA(6458, 4126, F64, 25) (dual of [4126, 4068, 26]-code) [i]✔
19Linear OA(6464, 4132, F64, 27) (dual of [4132, 4068, 28]-code) [i]✔
20Linear OA(6470, 4138, F64, 29) (dual of [4138, 4068, 30]-code) [i]✔