Information on Result #721473

Linear OA(1681, 114, F16, 48) (dual of [114, 33, 49]-code), using construction XX applied to C1 = C([12,52]), C2 = C([5,45]), C3 = C1 + C2 = C([12,45]), and C∩ = C1 ∩ C2 = C([5,52]) based on
  1. linear OA(1661, 85, F16, 41) (dual of [85, 24, 42]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,52}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(1660, 85, F16, 41) (dual of [85, 25, 42]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,45}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(1669, 85, F16, 48) (dual of [85, 16, 49]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,52}, and designed minimum distance d ≥ |I|+1 = 49 [i]
  4. linear OA(1652, 85, F16, 34) (dual of [85, 33, 35]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,45}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  5. linear OA(166, 15, F16, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,16)), using
  6. linear OA(166, 14, F16, 6) (dual of [14, 8, 7]-code or 14-arc in PG(5,16)), 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 OA(1680, 113, F16, 47) (dual of [113, 33, 48]-code) [i]Truncation
2Linear OOA(1681, 57, F16, 2, 48) (dual of [(57, 2), 33, 49]-NRT-code) [i]OOA Folding