Information on Result #728434

Linear OA(3274, 1048, F32, 35) (dual of [1048, 974, 36]-code), using construction XX applied to C1 = C([0,33]), C2 = C([9,34]), C3 = C1 + C2 = C([9,33]), and C∩ = C1 ∩ C2 = C([0,34]) based on
  1. linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. 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 = {9,10,…,34}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  4. linear OA(3249, 1023, F32, 25) (dual of [1023, 974, 26]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,33}, and designed minimum distance d ≥ |I|+1 = 26 [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(1693, 1048, S16, 35) [i]Discarding Parts of the Base for OAs
2Linear OOA(3274, 524, F32, 2, 35) (dual of [(524, 2), 974, 36]-NRT-code) [i]OOA Folding