Information on Result #654504

Linear OA(6486, 519, F64, 55) (dual of [519, 433, 56]-code), using construction X applied to AG(F,456P) ⊂ AG(F,460P) based on
  1. linear OA(6483, 512, F64, 55) (dual of [512, 429, 56]-code), using algebraic-geometric code AG(F,456P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
  2. linear OA(6479, 512, F64, 51) (dual of [512, 433, 52]-code), using algebraic-geometric code AG(F,460P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(643, 7, F64, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,64) or 7-cap in PG(2,64)), 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 OA(8172, 1038, F8, 55) (dual of [1038, 866, 56]-code) [i]Trace Code
2Linear OOA(6486, 259, F64, 2, 55) (dual of [(259, 2), 432, 56]-NRT-code) [i]OOA Folding