Information on Result #729191

Linear OA(32107, 1054, F32, 51) (dual of [1054, 947, 52]-code), using construction XX applied to C1 = C([1013,39]), C2 = C([0,40]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([1013,40]) based on
  1. linear OA(3296, 1023, F32, 50) (dual of [1023, 927, 51]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−10,−9,…,39}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  2. linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(3298, 1023, F32, 51) (dual of [1023, 925, 52]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−10,−9,…,40}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  4. linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
  5. linear OA(329, 29, F32, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,32)), 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
1Linear OOA(32107, 527, F32, 2, 51) (dual of [(527, 2), 947, 52]-NRT-code) [i]OOA Folding