Information on Result #618872

Linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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, 524290, F8, 25) (dual of [524290, 524144, 26]-code) [i]Trace Code
2Linear OA(6485, 262210, F64, 25) (dual of [262210, 262125, 26]-code) [i](u, u+v)-Construction
3Linear OA(6486, 262225, F64, 25) (dual of [262225, 262139, 26]-code) [i]
4Linear OA(6487, 262227, F64, 25) (dual of [262227, 262140, 26]-code) [i]
5Linear OA(6488, 262249, F64, 25) (dual of [262249, 262161, 26]-code) [i]
6Linear OA(6489, 262251, F64, 25) (dual of [262251, 262162, 26]-code) [i]
7Linear OA(6490, 262273, F64, 25) (dual of [262273, 262183, 26]-code) [i]
8Linear OA(6491, 262275, F64, 25) (dual of [262275, 262184, 26]-code) [i]
9Linear OA(6491, 262165, F64, 25) (dual of [262165, 262074, 26]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(6485, 262158, F64, 25) (dual of [262158, 262073, 26]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(6480, 262152, F64, 27) (dual of [262152, 262072, 28]-code) [i]✔
12Linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-code) [i]✔
13Linear OA(6488, 262160, F64, 29) (dual of [262160, 262072, 30]-code) [i]✔
14Linear OA(6476, 262160, F64, 25) (dual of [262160, 262084, 26]-code) [i]✔
15Linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code) [i]✔
16Linear OA(6480, 262176, F64, 25) (dual of [262176, 262096, 26]-code) [i]✔
17Linear OA(6482, 262184, F64, 25) (dual of [262184, 262102, 26]-code) [i]✔
18Linear OA(6484, 262192, F64, 25) (dual of [262192, 262108, 26]-code) [i]✔