Information on Result #662176

Linear OA(4178, 4194317, F4, 20) (dual of [4194317, 4194139, 21]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(46, 7, F4, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,4)), using
  2. linear OA(47, 7, F4, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,4)), using
  3. linear OA(4165, 4194303, F4, 20) (dual of [4194303, 4194138, 21]-code), using
    • 1 times truncation [i] based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using
      • an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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.