Information on Result #728323

Linear OA(3276, 1054, F32, 35) (dual of [1054, 978, 36]-code), using construction XX applied to C1 = C([0,33]), C2 = C([11,34]), C3 = C1 + C2 = C([11,33]), 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(3247, 1023, F32, 24) (dual of [1023, 976, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,34}, and designed minimum distance d ≥ |I|+1 = 25 [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(3245, 1023, F32, 23) (dual of [1023, 978, 24]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,33}, and designed minimum distance d ≥ |I|+1 = 24 [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(1695, 1054, S16, 35) [i]Discarding Parts of the Base for OAs
2Linear OOA(3276, 527, F32, 2, 35) (dual of [(527, 2), 978, 36]-NRT-code) [i]OOA Folding