Information on Result #671252

Linear OA(12851, 16514, F128, 21) (dual of [16514, 16463, 22]-code), using (u, u+v)-construction based on
  1. linear OA(12810, 129, F128, 10) (dual of [129, 119, 11]-code or 129-arc in PG(9,128)), using
  2. linear OA(12841, 16385, F128, 21) (dual of [16385, 16344, 22]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(12851, 8257, F128, 2, 21) (dual of [(8257, 2), 16463, 22]-NRT-code) [i]OOA Folding