Information on Result #655635

Linear OA(8147, 378, F81, 27) (dual of [378, 331, 28]-code), using construction X applied to AG(F,341P) ⊂ AG(F,346P) based on
  1. linear OA(8143, 369, F81, 27) (dual of [369, 326, 28]-code), using algebraic-geometric code AG(F,341P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
  2. linear OA(8138, 369, F81, 22) (dual of [369, 331, 23]-code), using algebraic-geometric code AG(F,346P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (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
1Linear OOA(8147, 189, F81, 2, 27) (dual of [(189, 2), 331, 28]-NRT-code) [i]OOA Folding