Information on Result #729078

Linear OA(32101, 1060, F32, 47) (dual of [1060, 959, 48]-code), using construction XX applied to C1 = C([1012,33]), C2 = C([0,35]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([1012,35]) based on
  1. 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 = {−11,−10,…,33}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [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 = {−11,−10,…,35}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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(16127, 1060, S16, 47) [i]Discarding Parts of the Base for OAs
2Linear OOA(32101, 530, F32, 2, 47) (dual of [(530, 2), 959, 48]-NRT-code) [i]OOA Folding