Information on Result #665257

Linear OA(1651, 4147, F16, 14) (dual of [4147, 4096, 15]-code), using (u, u+v)-construction based on
  1. linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-code), using
    • the BCH-code C(I) with length 51 | 162−1, defining interval I = {1,12,23,…,16}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using
    • an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]

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(1651, 592, F16, 14, 14) (dual of [(592, 14), 8237, 15]-NRT-code) [i]OA Folding and Stacking