Information on Result #645685

Linear OA(16127, 245, F16, 78) (dual of [245, 118, 79]-code), using construction X applied to AG(F,163P) ⊂ AG(F,165P) based on
  1. linear OA(16126, 242, F16, 78) (dual of [242, 116, 79]-code), using algebraic-geometric code AG(F,163P) [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243, using
  2. linear OA(16124, 242, F16, 76) (dual of [242, 118, 77]-code), using algebraic-geometric code AG(F,165P) [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243 (see above)
  3. linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), 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(16127, 122, F16, 2, 78) (dual of [(122, 2), 117, 79]-NRT-code) [i]OOA Folding