Information on Result #655188

Linear OA(8169, 180, F81, 58) (dual of [180, 111, 59]-code), using construction X applied to AG(F,112P) ⊂ AG(F,117P) based on
  1. linear OA(8165, 171, F81, 58) (dual of [171, 106, 59]-code), using algebraic-geometric code AG(F,112P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
  2. linear OA(8160, 171, F81, 53) (dual of [171, 111, 54]-code), using algebraic-geometric code AG(F,117P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
  3. linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), 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
1OA(2792, 180, S27, 58) [i]Discarding Parts of the Base for OAs
2Linear OOA(8169, 90, F81, 2, 58) (dual of [(90, 2), 111, 59]-NRT-code) [i]OOA Folding