Information on Result #729043

Linear OA(32104, 1066, F32, 47) (dual of [1066, 962, 48]-code), using construction XX applied to C1 = C([1014,33]), C2 = C([3,37]), C3 = C1 + C2 = C([3,33]), and C∩ = C1 ∩ C2 = C([1014,37]) based on
  1. linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−9,−8,…,33}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(3269, 1023, F32, 35) (dual of [1023, 954, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36 [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 = {−9,−8,…,37}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {3,4,…,33}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  5. linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
  6. linear OA(323, 11, F32, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,32) or 11-cap in PG(2,32)), 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, 1066, S16, 47) [i]Discarding Parts of the Base for OAs
2Linear OOA(32104, 533, F32, 2, 47) (dual of [(533, 2), 962, 48]-NRT-code) [i]OOA Folding