Information on Result #728195

Linear OA(3278, 1072, F32, 32) (dual of [1072, 994, 33]-code), using construction XX applied to C1 = C([1012,14]), C2 = C([0,20]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([1012,20]) based on
  1. 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 = {−11,−10,…,14}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,20}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(3229, 1023, F32, 15) (dual of [1023, 994, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
  5. linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
  6. linear OA(325, 17, F32, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,32)), 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
1Linear OOA(3278, 536, F32, 2, 32) (dual of [(536, 2), 994, 33]-NRT-code) [i]OOA Folding