Information on Result #670428

Linear OA(8159, 531558, F81, 17) (dual of [531558, 531499, 18]-code), using (u, u+v)-construction based on
  1. linear OA(8110, 116, F81, 8) (dual of [116, 106, 9]-code), using
  2. linear OA(8149, 531442, F81, 17) (dual of [531442, 531393, 18]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8159, 177186, F81, 3, 17) (dual of [(177186, 3), 531499, 18]-NRT-code) [i]OOA Folding