Information on Result #721428

Linear OA(1667, 107, F16, 39) (dual of [107, 40, 40]-code), using construction XX applied to C1 = C([6,39]), C2 = C([1,33]), C3 = C1 + C2 = C([6,33]), and C∩ = C1 ∩ C2 = C([1,39]) based on
  1. 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 = {6,7,…,39}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(1651, 85, F16, 33) (dual of [85, 34, 34]-code), using the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(1658, 85, F16, 39) (dual of [85, 27, 40]-code), using the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
  4. linear OA(1645, 85, F16, 28) (dual of [85, 40, 29]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {6,7,…,33}, and designed minimum distance d ≥ |I|+1 = 29 [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, 10, F16, 4) (dual of [10, 6, 5]-code or 10-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 OA(1666, 106, F16, 38) (dual of [106, 40, 39]-code) [i]Truncation
2Linear OOA(1667, 53, F16, 2, 39) (dual of [(53, 2), 39, 40]-NRT-code) [i]OOA Folding