Information on Result #728774

Linear OA(3284, 1048, F32, 40) (dual of [1048, 964, 41]-code), using construction XX applied to C1 = C([1018,33]), C2 = C([4,34]), C3 = C1 + C2 = C([4,33]), 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(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 = {4,5,…,34}, and designed minimum distance d ≥ |I|+1 = 32 [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(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 = {4,5,…,33}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  5. linear OA(328, 23, F32, 8) (dual of [23, 15, 9]-code or 23-arc in PG(7,32)), 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(16105, 1048, S16, 40) [i]Discarding Parts of the Base for OAs
2Linear OOA(3284, 524, F32, 2, 40) (dual of [(524, 2), 964, 41]-NRT-code) [i]OOA Folding