Information on Result #728772

Linear OA(3278, 1042, F32, 38) (dual of [1042, 964, 39]-code), using construction XX applied to C1 = C([1020,33]), C2 = C([4,34]), C3 = C1 + C2 = C([4,33]), and C∩ = C1 ∩ C2 = C([1020,34]) based on
  1. 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 = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [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(3272, 1023, F32, 38) (dual of [1023, 951, 39]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−3,−2,…,34}, and designed minimum distance d ≥ |I|+1 = 39 [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(326, 17, F32, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,32)), 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(8130, 1042, S8, 38) [i]Discarding Parts of the Base for OAs
2OA(1698, 1042, S16, 38) [i]
3Linear OOA(3278, 521, F32, 2, 38) (dual of [(521, 2), 964, 39]-NRT-code) [i]OOA Folding