Information on Result #729195

Linear OA(3282, 1027, F32, 43) (dual of [1027, 945, 44]-code), using construction XX applied to C1 = C([1022,40]), C2 = C([0,41]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([1022,41]) based on
  1. linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43 [i]
  3. linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,41}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  4. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [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(8137, 1027, S8, 43) [i]Discarding Parts of the Base for OAs
2OA(16103, 1027, S16, 43) [i]
3Linear OA(32106, 1091, F32, 43) (dual of [1091, 985, 44]-code) [i](u, u+v)-Construction
4Linear OA(32107, 1093, F32, 43) (dual of [1093, 986, 44]-code) [i]
5Linear OA(32108, 1103, F32, 43) (dual of [1103, 995, 44]-code) [i]
6Linear OA(32109, 1105, F32, 43) (dual of [1105, 996, 44]-code) [i]
7Linear OA(32110, 1125, F32, 43) (dual of [1125, 1015, 44]-code) [i]
8Linear OA(3290, 1053, F32, 43) (dual of [1053, 963, 44]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OA(3291, 1075, F32, 43) (dual of [1075, 984, 44]-code) [i]
10Linear OA(3292, 1115, F32, 43) (dual of [1115, 1023, 44]-code) [i]
11Linear OA(3293, 1179, F32, 43) (dual of [1179, 1086, 44]-code) [i]
12Linear OA(3294, 1268, F32, 43) (dual of [1268, 1174, 44]-code) [i]