Information on Result #729113

Linear OA(32103, 1060, F32, 48) (dual of [1060, 957, 49]-code), using construction XX applied to C1 = C([1012,34]), C2 = C([0,36]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([1012,36]) 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 = {−11,−10,…,34}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(3292, 1023, F32, 48) (dual of [1023, 931, 49]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,36}, and designed minimum distance d ≥ |I|+1 = 49 [i]
  4. linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
  6. linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using

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(16129, 1060, S16, 48) [i]Discarding Parts of the Base for OAs
2Linear OOA(32103, 530, F32, 2, 48) (dual of [(530, 2), 957, 49]-NRT-code) [i]OOA Folding