Information on Result #618981

Linear OA(6473, 4097, F64, 37) (dual of [4097, 4024, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(8146, 8194, F8, 37) (dual of [8194, 8048, 38]-code) [i]Trace Code
2Linear OA(6491, 4162, F64, 37) (dual of [4162, 4071, 38]-code) [i](u, u+v)-Construction
3Linear OA(6491, 4116, F64, 37) (dual of [4116, 4025, 38]-code) [i]✔Construction X with Cyclic Codes
4Linear OA(6478, 4102, F64, 39) (dual of [4102, 4024, 40]-code) [i]✔
5Linear OA(6474, 4102, F64, 37) (dual of [4102, 4028, 38]-code) [i]✔
6Linear OA(6484, 4108, F64, 41) (dual of [4108, 4024, 42]-code) [i]✔
7Linear OA(6476, 4108, F64, 37) (dual of [4108, 4032, 38]-code) [i]✔
8Linear OA(6490, 4114, F64, 43) (dual of [4114, 4024, 44]-code) [i]✔
9Linear OA(6478, 4114, F64, 37) (dual of [4114, 4036, 38]-code) [i]✔
10Linear OA(6480, 4120, F64, 37) (dual of [4120, 4040, 38]-code) [i]✔
11Linear OA(6482, 4126, F64, 37) (dual of [4126, 4044, 38]-code) [i]✔
12Linear OA(6484, 4132, F64, 37) (dual of [4132, 4048, 38]-code) [i]✔
13Linear OA(6486, 4138, F64, 37) (dual of [4138, 4052, 38]-code) [i]✔
14Linear OA(6488, 4144, F64, 37) (dual of [4144, 4056, 38]-code) [i]✔
15Linear OA(6490, 4150, F64, 37) (dual of [4150, 4060, 38]-code) [i]✔