Information on Result #728632

Linear OA(3286, 1054, F32, 40) (dual of [1054, 968, 41]-code), using construction XX applied to C1 = C([1018,33]), C2 = C([6,34]), C3 = C1 + C2 = C([6,33]), and C∩ = C1 ∩ C2 = C([1018,34]) based on
  1. linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−5,−4,…,33}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  2. 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 = {6,7,…,34}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. 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 = {−5,−4,…,34}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  4. linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {6,7,…,33}, and designed minimum distance d ≥ |I|+1 = 29 [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(16108, 1054, S16, 40) [i]Discarding Parts of the Base for OAs
2Linear OOA(3286, 527, F32, 2, 40) (dual of [(527, 2), 968, 41]-NRT-code) [i]OOA Folding