Information on Result #692863

Linear OA(16118, 273, F16, 65) (dual of [273, 155, 66]-code), using construction X applied to Ce(67) ⊂ Ce(57) based on
  1. linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
  2. linear OA(16100, 256, F16, 58) (dual of [256, 156, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
  3. linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-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 OOA(16118, 136, F16, 2, 65) (dual of [(136, 2), 154, 66]-NRT-code) [i]OOA Folding