Information on Result #728498

Linear OA(3282, 1054, F32, 38) (dual of [1054, 972, 39]-code), using construction XX applied to C1 = C([1020,33]), C2 = C([8,34]), C3 = C1 + C2 = C([8,33]), 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(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 = {8,9,…,34}, and designed minimum distance d ≥ |I|+1 = 28 [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(3251, 1023, F32, 26) (dual of [1023, 972, 27]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {8,9,…,33}, and designed minimum distance d ≥ |I|+1 = 27 [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(16103, 1054, S16, 38) [i]Discarding Parts of the Base for OAs
2Linear OOA(3282, 527, F32, 2, 38) (dual of [(527, 2), 972, 39]-NRT-code) [i]OOA Folding