Information on Result #728705

Linear OA(3288, 1054, F32, 41) (dual of [1054, 966, 42]-code), using construction XX applied to C1 = C([1017,33]), C2 = C([5,34]), C3 = C1 + C2 = C([5,33]), and C∩ = C1 ∩ C2 = C([1017,34]) based on
  1. linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−6,−5,…,33}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,34}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. 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 = {−6,−5,…,34}, and designed minimum distance d ≥ |I|+1 = 42 [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(3210, 29, F32, 10) (dual of [29, 19, 11]-code or 29-arc in PG(9,32)), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-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(16110, 1054, S16, 41) [i]Discarding Parts of the Base for OAs
2Linear OOA(3288, 527, F32, 2, 41) (dual of [(527, 2), 966, 42]-NRT-code) [i]OOA Folding