Information on Result #729109

Linear OA(32104, 1063, F32, 48) (dual of [1063, 959, 49]-code), using construction XX applied to C1 = C([1012,33]), C2 = C([0,36]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([1012,36]) 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(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(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(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,32)), 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(16130, 1063, S16, 48) [i]Discarding Parts of the Base for OAs
2Linear OOA(32104, 531, F32, 2, 48) (dual of [(531, 2), 958, 49]-NRT-code) [i]OOA Folding