Information on Result #671430

Linear OA(12829, 2097282, F128, 9) (dual of [2097282, 2097253, 10]-code), using (u, u+v)-construction based on
  1. linear OA(1284, 129, F128, 4) (dual of [129, 125, 5]-code or 129-arc in PG(3,128)), using
  2. linear OA(12825, 2097153, F128, 9) (dual of [2097153, 2097128, 10]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(12829, 699094, F128, 3, 9) (dual of [(699094, 3), 2097253, 10]-NRT-code) [i]OOA Folding