Information on Result #727466

Linear OA(3287, 354, F32, 46) (dual of [354, 267, 47]-code), using construction XX applied to C1 = C([0,44]), C2 = C([5,45]), C3 = C1 + C2 = C([5,44]), and C∩ = C1 ∩ C2 = C([0,45]) based on
  1. linear OA(3281, 341, F32, 45) (dual of [341, 260, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(3276, 341, F32, 41) (dual of [341, 265, 42]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {5,6,…,45}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(3283, 341, F32, 46) (dual of [341, 258, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. linear OA(3274, 341, F32, 40) (dual of [341, 267, 41]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {5,6,…,44}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  5. linear OA(324, 11, F32, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,32)), 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(3287, 177, F32, 2, 46) (dual of [(177, 2), 267, 47]-NRT-code) [i]OOA Folding