Information on Result #665386

Linear OA(2599, 15649, F25, 27) (dual of [15649, 15550, 28]-code), using generalized (u, u+v)-construction based on
  1. linear OA(253, 4, F25, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,25) or 4-cap in PG(2,25)), using
  2. linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)), using
  3. linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)) (see above)
  4. linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)) (see above)
  5. linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)) (see above)
  6. linear OA(254, 4, F25, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,25)) (see above)
  7. linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using
    • an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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.