Information on Result #648866

Linear OA(2784, 100, F27, 71) (dual of [100, 16, 72]-code), using construction X applied to AG(F,21P) ⊂ AG(F,25P) based on
  1. linear OA(2781, 93, F27, 71) (dual of [93, 12, 72]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
  2. linear OA(2777, 93, F27, 67) (dual of [93, 16, 68]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
  3. linear OA(273, 7, F27, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,27) or 7-cap in PG(2,27)), 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 OOA(2784, 50, F27, 2, 71) (dual of [(50, 2), 16, 72]-NRT-code) [i]OOA Folding