Information on Result #664044

Linear OA(9120, 4782984, F9, 17) (dual of [4782984, 4782864, 18]-code), using generalized (u, u+v)-construction based on
  1. linear OA(92, 3, F9, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,9)), using
  2. linear OA(93, 3, F9, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,9) or 3-cap in PG(2,9)), using
  3. linear OA(93, 3, F9, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,9) or 3-cap in PG(2,9)) (see above)
  4. linear OA(93, 3, F9, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,9) or 3-cap in PG(2,9)) (see above)
  5. linear OA(93, 3, F9, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,9) or 3-cap in PG(2,9)) (see above)
  6. linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using
    • an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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.