Information on Result #921623

Linear OOA(5141, 97, F5, 2, 81) (dual of [(97, 2), 53, 82]-NRT-code), using construction X applied to AG(2;F,72P) ⊂ AG(2;F,90P) based on
  1. linear OOA(5119, 77, F5, 2, 81) (dual of [(77, 2), 35, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,72P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(5101, 77, F5, 2, 63) (dual of [(77, 2), 53, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(522, 20, F5, 2, 17) (dual of [(20, 2), 18, 18]-NRT-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(5143, 98, F5, 2, 81) (dual of [(98, 2), 53, 82]-NRT-code) [i]NRT-Code Embedding in Larger Space