Information on Result #665480

Linear OA(2536, 15634, F25, 10) (dual of [15634, 15598, 11]-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(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using
    • an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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.