Information on Result #665235

Linear OA(1655, 4182, F16, 15) (dual of [4182, 4127, 16]-code), using (u, u+v)-construction based on
  1. linear OA(1612, 85, F16, 7) (dual of [85, 73, 8]-code), using
    • the BCH-code C(I) with length 85 | 162−1, defining interval I = {1,4,7,…,19}, and designed minimum distance d ≥ |I|+1 = 8 [i]
  2. linear OA(1643, 4097, F16, 15) (dual of [4097, 4054, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, 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(1655, 597, F16, 15, 15) (dual of [(597, 15), 8900, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row