Information on Result #649445

Linear OA(2780, 120, F27, 57) (dual of [120, 40, 58]-code), using construction X applied to AG(F,35P) ⊂ AG(F,49P) based on
  1. linear OA(2767, 93, F27, 57) (dual of [93, 26, 58]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
  2. linear OA(2753, 93, F27, 43) (dual of [93, 40, 44]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
  3. linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), 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(2780, 60, F27, 2, 57) (dual of [(60, 2), 40, 58]-NRT-code) [i]OOA Folding