Information on Result #729253

Linear OA(3290, 1027, F32, 47) (dual of [1027, 937, 48]-code), using construction XX applied to C1 = C([1022,44]), C2 = C([0,45]), C3 = C1 + C2 = C([0,44]), and C∩ = C1 ∩ C2 = C([1022,45]) based on
  1. linear OA(3288, 1023, F32, 46) (dual of [1023, 935, 47]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,44}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(3288, 1023, F32, 46) (dual of [1023, 935, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(3290, 1023, F32, 47) (dual of [1023, 933, 48]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,45}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(3286, 1023, F32, 45) (dual of [1023, 937, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [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(8150, 1027, S8, 47) [i]Discarding Parts of the Base for OAs
2OA(16113, 1027, S16, 47) [i]
3Linear OA(3298, 1058, F32, 47) (dual of [1058, 960, 48]-code) [i]VarÅ¡amov–Edel Lengthening
4Linear OA(3299, 1085, F32, 47) (dual of [1085, 986, 48]-code) [i]
5Linear OA(32100, 1130, F32, 47) (dual of [1130, 1030, 48]-code) [i]
6Linear OA(32101, 1200, F32, 47) (dual of [1200, 1099, 48]-code) [i]
7Linear OA(32102, 1287, F32, 47) (dual of [1287, 1185, 48]-code) [i]