Information on Result #666500

Linear OA(2799, 19707, F27, 26) (dual of [19707, 19608, 27]-code), using generalized (u, u+v)-construction based on
  1. linear OA(272, 3, F27, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,27)), using
  2. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)), using
  3. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  4. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  5. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  6. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  7. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  8. linear OA(273, 3, F27, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,27) or 3-cap in PG(2,27)) (see above)
  9. linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using
    • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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.