Information on Result #728201

Linear OA(3276, 1066, F32, 32) (dual of [1066, 990, 33]-code), using construction XX applied to C1 = C([1012,16]), C2 = C([0,20]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([1012,20]) based on
  1. linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−11,−10,…,16}, and designed minimum distance d ≥ |I|+1 = 29 [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(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(323, 11, F32, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,32) or 11-cap in PG(2,32)), 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(3276, 533, F32, 2, 32) (dual of [(533, 2), 990, 33]-NRT-code) [i]OOA Folding