Information on Result #665396

Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code), using generalized (u, u+v)-construction based on
  1. linear OA(252, 3, F25, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,25)), using
  2. linear OA(253, 3, F25, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,25) or 3-cap in PG(2,25)), using
  3. linear OA(253, 3, F25, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,25) or 3-cap in PG(2,25)) (see above)
  4. linear OA(253, 3, F25, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,25) or 3-cap in PG(2,25)) (see above)
  5. linear OA(253, 3, F25, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,25) or 3-cap in PG(2,25)) (see above)
  6. linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using
    • an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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.