Information on Result #729223

Linear OA(3286, 1027, F32, 45) (dual of [1027, 941, 46]-code), using construction XX applied to C1 = C([1022,42]), C2 = C([0,43]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([1022,43]) based on
  1. linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,42}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(3286, 1023, F32, 45) (dual of [1023, 937, 46]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,43}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [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(8144, 1027, S8, 45) [i]Discarding Parts of the Base for OAs
2OA(16108, 1027, S16, 45) [i]
3Linear OA(3294, 1055, F32, 45) (dual of [1055, 961, 46]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(3295, 1079, F32, 45) (dual of [1079, 984, 46]-code) [i]
5Linear OA(3296, 1122, F32, 45) (dual of [1122, 1026, 46]-code) [i]
6Linear OA(3297, 1188, F32, 45) (dual of [1188, 1091, 46]-code) [i]
7Linear OA(3298, 1276, F32, 45) (dual of [1276, 1178, 46]-code) [i]