Information on Result #728037

Linear OA(3239, 1027, F32, 20) (dual of [1027, 988, 21]-code), using construction XX applied to C1 = C([1022,17]), C2 = C([0,18]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([1022,18]) based on
  1. linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
  4. linear OA(3235, 1023, F32, 18) (dual of [1023, 988, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
  5. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)

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
1OA(865, 1027, S8, 20) [i]Discarding Parts of the Base for OAs
2OA(1649, 1027, S16, 20) [i]
3Linear OA(3249, 1060, F32, 20) (dual of [1060, 1011, 21]-code) [i](u, u+v)-Construction
4Linear OA(3250, 1071, F32, 20) (dual of [1071, 1021, 21]-code) [i]
5Linear OA(3251, 1073, F32, 20) (dual of [1073, 1022, 21]-code) [i]
6Linear OA(3252, 1091, F32, 20) (dual of [1091, 1039, 21]-code) [i]
7Linear OA(3253, 1093, F32, 20) (dual of [1093, 1040, 21]-code) [i]
8Linear OA(3254, 1103, F32, 20) (dual of [1103, 1049, 21]-code) [i]
9Linear OA(3255, 1122, F32, 20) (dual of [1122, 1067, 21]-code) [i]
10Linear OA(3256, 1125, F32, 20) (dual of [1125, 1069, 21]-code) [i]
11Linear OA(3257, 1128, F32, 20) (dual of [1128, 1071, 21]-code) [i]
12Linear OA(3244, 1047, F32, 20) (dual of [1047, 1003, 21]-code) [i]VarÅ¡amov–Edel Lengthening
13Linear OA(3245, 1085, F32, 20) (dual of [1085, 1040, 21]-code) [i]
14Linear OA(3246, 1183, F32, 20) (dual of [1183, 1137, 21]-code) [i]
15Linear OA(3247, 1370, F32, 20) (dual of [1370, 1323, 21]-code) [i]