Information on Result #618964

Linear OA(6469, 4097, F64, 35) (dual of [4097, 4028, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(8138, 8194, F8, 35) (dual of [8194, 8056, 36]-code) [i]Trace Code
2Linear OA(6486, 4162, F64, 35) (dual of [4162, 4076, 36]-code) [i](u, u+v)-Construction
3Linear OA(6487, 4177, F64, 35) (dual of [4177, 4090, 36]-code) [i]
4Linear OA(6488, 4179, F64, 35) (dual of [4179, 4091, 36]-code) [i]
5Linear OA(6489, 4201, F64, 35) (dual of [4201, 4112, 36]-code) [i]
6Linear OA(6490, 4203, F64, 35) (dual of [4203, 4113, 36]-code) [i]
7Linear OA(6491, 4225, F64, 35) (dual of [4225, 4134, 36]-code) [i]
8Linear OA(6485, 4114, F64, 35) (dual of [4114, 4029, 36]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(6474, 4102, F64, 37) (dual of [4102, 4028, 38]-code) [i]✔
10Linear OA(6470, 4102, F64, 35) (dual of [4102, 4032, 36]-code) [i]✔
11Linear OA(6480, 4108, F64, 39) (dual of [4108, 4028, 40]-code) [i]✔
12Linear OA(6472, 4108, F64, 35) (dual of [4108, 4036, 36]-code) [i]✔
13Linear OA(6486, 4114, F64, 41) (dual of [4114, 4028, 42]-code) [i]✔
14Linear OA(6474, 4114, F64, 35) (dual of [4114, 4040, 36]-code) [i]✔
15Linear OA(6491, 4119, F64, 42) (dual of [4119, 4028, 43]-code) [i]✔
16Linear OA(6476, 4120, F64, 35) (dual of [4120, 4044, 36]-code) [i]✔
17Linear OA(6478, 4126, F64, 35) (dual of [4126, 4048, 36]-code) [i]✔
18Linear OA(6480, 4132, F64, 35) (dual of [4132, 4052, 36]-code) [i]✔
19Linear OA(6482, 4138, F64, 35) (dual of [4138, 4056, 36]-code) [i]✔
20Linear OA(6484, 4144, F64, 35) (dual of [4144, 4060, 36]-code) [i]✔