Information on Result #662009

Linear OA(3110, 19696, F3, 17) (dual of [19696, 19586, 18]-code), using (u, u+v)-construction based on
  1. linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
    • Simplex code S(3,3) [i]
    • the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
  2. linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using
    • an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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

None.