Information on Result #721438

Linear OA(1668, 106, F16, 40) (dual of [106, 38, 41]-code), using construction XX applied to C1 = C([5,39]), C2 = C([0,33]), C3 = C1 + C2 = C([5,33]), and C∩ = C1 ∩ C2 = C([0,39]) based on
  1. linear OA(1654, 85, F16, 35) (dual of [85, 31, 36]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,39}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(1652, 85, F16, 34) (dual of [85, 33, 35]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(1659, 85, F16, 40) (dual of [85, 26, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
  4. linear OA(1647, 85, F16, 29) (dual of [85, 38, 30]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,33}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(165, 12, F16, 5) (dual of [12, 7, 6]-code or 12-arc in PG(4,16)), using
  6. linear OA(164, 9, F16, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), 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(1668, 53, F16, 2, 40) (dual of [(53, 2), 38, 41]-NRT-code) [i]OOA Folding