Information on Result #666529

Linear OA(27105, 19707, F27, 29) (dual of [19707, 19602, 30]-code), using generalized (u, u+v)-construction based on
  1. linear OA(275, 6, F27, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,27)), using
  2. linear OA(276, 6, F27, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,27)), using
  3. linear OA(276, 6, F27, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,27)) (see above)
  4. linear OA(276, 6, F27, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,27)) (see above)
  5. linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using
    • an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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.