Information on Result #662708

Linear OA(5140, 1953139, F5, 18) (dual of [1953139, 1952999, 19]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
  2. linear OA(57, 7, F5, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,5)), using
  3. linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.