Information on Result #1290684

Linear OA(16115, 212, F16, 76) (dual of [212, 97, 77]-code), using construction X applied to AG(F,130P) ⊂ AG(F,133P) based on
  1. linear OA(16113, 207, F16, 76) (dual of [207, 94, 77]-code), using algebraic-geometric code AG(F,130P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208, using
  2. linear OA(16110, 207, F16, 73) (dual of [207, 97, 74]-code), using algebraic-geometric code AG(F,133P) [i] based on function field F/F16 with g(F) = 37 and N(F) ≥ 208 (see above)
  3. linear OA(162, 5, F16, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,16)), using

Mode: 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(16115, 106, F16, 2, 76) (dual of [(106, 2), 97, 77]-NRT-code) [i]OOA Folding