Information on Result #729036

Linear OA(32100, 1061, F32, 46) (dual of [1061, 961, 47]-code), using construction XX applied to C1 = C([1013,32]), C2 = C([1,35]), C3 = C1 + C2 = C([1,32]), and C∩ = C1 ∩ C2 = C([1013,35]) based on
  1. linear OA(3283, 1023, F32, 43) (dual of [1023, 940, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−10,−9,…,32}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(3267, 1023, F32, 35) (dual of [1023, 956, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(3288, 1023, F32, 46) (dual of [1023, 935, 47]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−10,−9,…,35}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. linear OA(3262, 1023, F32, 32) (dual of [1023, 961, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  5. linear OA(3210, 31, F32, 10) (dual of [31, 21, 11]-code or 31-arc in PG(9,32)), using
  6. linear OA(322, 7, F32, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,32)), 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(16125, 1061, S16, 46) [i]Discarding Parts of the Base for OAs