Information on Result #666516

Linear OA(27104, 531461, F27, 22) (dual of [531461, 531357, 23]-code), using generalized (u, u+v)-construction based on
  1. linear OA(273, 4, F27, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,27) or 4-cap in PG(2,27)), using
  2. linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)), using
  3. linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)) (see above)
  4. linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)) (see above)
  5. linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)) (see above)
  6. linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using
    • an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.