Information on Result #669381

Linear OA(6484, 262165, F64, 22) (dual of [262165, 262081, 23]-code), using generalized (u, u+v)-construction based on
  1. linear OA(642, 3, F64, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,64)), using
  2. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)), using
  3. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
  4. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
  5. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
  6. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
  7. linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
  8. linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using
    • an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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.