Information on Result #666509

Linear OA(27110, 764, F27, 40) (dual of [764, 654, 41]-code), using generalized (u, u+v)-construction based on
  1. linear OA(276, 7, F27, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,27)), using
  2. linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)), using
  3. linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)) (see above)
  4. linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)) (see above)
  5. linear OA(277, 7, F27, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,27)) (see above)
  6. linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using
    • an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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.