Information on Result #727675

Linear OA(3217, 1023, F32, 9) (dual of [1023, 1006, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3219, 1027, F32, 10) (dual of [1027, 1008, 11]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3225, 1033, F32, 12) (dual of [1033, 1008, 13]-code) [i]✔
3Linear OA(3231, 1039, F32, 14) (dual of [1039, 1008, 15]-code) [i]✔
4Linear OA(3237, 1045, F32, 16) (dual of [1045, 1008, 17]-code) [i]✔
5Linear OA(3243, 1051, F32, 18) (dual of [1051, 1008, 19]-code) [i]✔
6Linear OA(3221, 1027, F32, 11) (dual of [1027, 1006, 12]-code) [i]✔
7Linear OA(3224, 1030, F32, 12) (dual of [1030, 1006, 13]-code) [i]✔
8Linear OA(3227, 1033, F32, 13) (dual of [1033, 1006, 14]-code) [i]✔
9Linear OA(3230, 1036, F32, 14) (dual of [1036, 1006, 15]-code) [i]✔
10Linear OA(3233, 1039, F32, 15) (dual of [1039, 1006, 16]-code) [i]✔
11Linear OA(3236, 1042, F32, 16) (dual of [1042, 1006, 17]-code) [i]✔
12Linear OA(3239, 1045, F32, 17) (dual of [1045, 1006, 18]-code) [i]✔
13Linear OA(3242, 1048, F32, 18) (dual of [1048, 1006, 19]-code) [i]✔
14Linear OA(3245, 1051, F32, 19) (dual of [1051, 1006, 20]-code) [i]✔
15Linear OA(3248, 1054, F32, 20) (dual of [1054, 1006, 21]-code) [i]✔
16Linear OA(3254, 1060, F32, 22) (dual of [1060, 1006, 23]-code) [i]✔
17Linear OA(3266, 1072, F32, 26) (dual of [1072, 1006, 27]-code) [i]✔