Information on Result #665240

Linear OA(1669, 131125, F16, 15) (dual of [131125, 131056, 16]-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(1658, 131074, F16, 15) (dual of [131074, 131016, 16]-code), using
    • trace code [i] based on linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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(1669, 18732, F16, 15, 15) (dual of [(18732, 15), 280911, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row