Information on Result #645188

Linear OA(1683, 97, F16, 63) (dual of [97, 14, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,19P) based on
  1. linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
  2. linear OA(1650, 64, F16, 44) (dual of [64, 14, 45]-code), using algebraic-geometric code AG(F,19P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using

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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(1682, 96, F16, 62) (dual of [96, 14, 63]-code) [i]Truncation
2Linear OA(1681, 95, F16, 61) (dual of [95, 14, 62]-code) [i]
3Linear OA(1680, 94, F16, 60) (dual of [94, 14, 61]-code) [i]