Information on Result #649345

Linear OA(2772, 116, F27, 51) (dual of [116, 44, 52]-code), using construction X applied to AG(F,41P) ⊂ AG(F,53P) based on
  1. linear OA(2761, 93, F27, 51) (dual of [93, 32, 52]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
  2. linear OA(2749, 93, F27, 39) (dual of [93, 44, 40]-code), using algebraic-geometric code AG(F,53P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
  3. linear OA(2711, 23, F27, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,27)), 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(2772, 58, F27, 2, 51) (dual of [(58, 2), 44, 52]-NRT-code) [i]OOA Folding