Information on Result #618748

Linear OA(6431, 262145, F64, 11) (dual of [262145, 262114, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(862, 524290, F8, 11) (dual of [524290, 524228, 12]-code) [i]Trace Code
2Linear OA(6436, 262210, F64, 11) (dual of [262210, 262174, 12]-code) [i](u, u+v)-Construction
3Linear OA(6437, 262225, F64, 11) (dual of [262225, 262188, 12]-code) [i]
4Linear OA(6438, 266178, F64, 11) (dual of [266178, 266140, 12]-code) [i]
5Linear OA(6440, 266242, F64, 11) (dual of [266242, 266202, 12]-code) [i]
6Linear OA(6440, 266243, F64, 11) (dual of [266243, 266203, 12]-code) [i]
7Linear OA(6440, 262157, F64, 11) (dual of [262157, 262117, 12]-code) [i]Generalized (u, u+v)-Construction
8Linear OA(6439, 262275, F64, 11) (dual of [262275, 262236, 12]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(6440, 262291, F64, 11) (dual of [262291, 262251, 12]-code) [i]
10Linear OA(6435, 262150, F64, 11) (dual of [262150, 262115, 12]-code) [i]✔Construction X with Cyclic Codes
11Linear OA(6438, 262152, F64, 13) (dual of [262152, 262114, 14]-code) [i]✔
12Linear OA(6432, 262152, F64, 11) (dual of [262152, 262120, 12]-code) [i]✔
13Linear OA(6446, 262160, F64, 15) (dual of [262160, 262114, 16]-code) [i]✔
14Linear OA(6434, 262160, F64, 11) (dual of [262160, 262126, 12]-code) [i]✔
15Linear OA(6454, 262168, F64, 17) (dual of [262168, 262114, 18]-code) [i]✔
16Linear OA(6462, 262176, F64, 19) (dual of [262176, 262114, 20]-code) [i]✔
17Linear OA(6470, 262184, F64, 21) (dual of [262184, 262114, 22]-code) [i]✔