Information on Result #645371

Linear OA(1689, 109, F16, 61) (dual of [109, 20, 62]-code), using construction X applied to AG(F,0P) ⊂ AG(F,25P) 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(1644, 64, F16, 38) (dual of [64, 20, 39]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(1626, 45, F16, 22) (dual of [45, 19, 23]-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(1688, 108, F16, 60) (dual of [108, 20, 61]-code) [i]Truncation