Information on Result #728930

Linear OA(32100, 1066, F32, 45) (dual of [1066, 966, 46]-code), using construction XX applied to C1 = C([1016,33]), C2 = C([5,37]), C3 = C1 + C2 = C([5,33]), and C∩ = C1 ∩ C2 = C([1016,37]) based on
  1. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−7,−6,…,33}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(3265, 1023, F32, 33) (dual of [1023, 958, 34]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,37}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. 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 = {−7,−6,…,37}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,33}, and designed minimum distance d ≥ |I|+1 = 30 [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(16125, 1066, S16, 45) [i]Discarding Parts of the Base for OAs
2Linear OOA(32100, 533, F32, 2, 45) (dual of [(533, 2), 966, 46]-NRT-code) [i]OOA Folding