Information on Result #654509

Linear OA(6481, 519, F64, 50) (dual of [519, 438, 51]-code), using construction X applied to AG(F,461P) ⊂ AG(F,465P) based on
  1. linear OA(6478, 512, F64, 50) (dual of [512, 434, 51]-code), using algebraic-geometric code AG(F,461P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
  2. linear OA(6474, 512, F64, 46) (dual of [512, 438, 47]-code), using algebraic-geometric code AG(F,465P) [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(8162, 1038, F8, 50) (dual of [1038, 876, 51]-code) [i]Trace Code
2Linear OOA(6481, 259, F64, 2, 50) (dual of [(259, 2), 437, 51]-NRT-code) [i]OOA Folding