Information on Result #664709

Linear OA(1673, 131084, F16, 16) (dual of [131084, 131011, 17]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(165, 6, F16, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,16)), using
  2. linear OA(166, 6, F16, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,16)), using
  3. linear OA(1662, 131072, F16, 16) (dual of [131072, 131010, 17]-code), using
    • trace code [i] based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
      • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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.