Information on Result #721733

Linear OA(1681, 278, F16, 41) (dual of [278, 197, 42]-code), using construction XX applied to C1 = C([252,34]), C2 = C([4,37]), C3 = C1 + C2 = C([4,34]), and C∩ = C1 ∩ C2 = C([252,37]) based on
  1. linear OA(1667, 255, F16, 38) (dual of [255, 188, 39]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,34}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  2. linear OA(1664, 255, F16, 34) (dual of [255, 191, 35]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,37}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(1673, 255, F16, 41) (dual of [255, 182, 42]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−3,−2,…,37}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(1658, 255, F16, 31) (dual of [255, 197, 32]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {4,5,…,34}, and designed minimum distance d ≥ |I|+1 = 32 [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(162, 8, F16, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,16)), 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(1681, 139, F16, 2, 41) (dual of [(139, 2), 197, 42]-NRT-code) [i]OOA Folding