Information on Result #666623

Linear OA(2749, 744, F27, 18) (dual of [744, 695, 19]-code), using generalized (u, u+v)-construction based on
  1. linear OA(274, 5, F27, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,27)), using
  2. linear OA(275, 5, F27, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,27)), using
  3. linear OA(275, 5, F27, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,27)) (see above)
  4. linear OA(2735, 729, F27, 18) (dual of [729, 694, 19]-code), using
    • an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, 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.