Information on Result #728560

Linear OA(3278, 1048, F32, 37) (dual of [1048, 970, 38]-code), using construction XX applied to C1 = C([1021,33]), C2 = C([7,34]), C3 = C1 + C2 = C([7,33]), and C∩ = C1 ∩ C2 = C([1021,34]) based on
  1. linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,33}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  2. 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 = {7,8,…,34}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,34}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  4. linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,33}, and designed minimum distance d ≥ |I|+1 = 28 [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(1698, 1048, S16, 37) [i]Discarding Parts of the Base for OAs
2Linear OOA(3278, 524, F32, 2, 37) (dual of [(524, 2), 970, 38]-NRT-code) [i]OOA Folding