Information on Result #921626

Linear OOA(5138, 97, F5, 2, 78) (dual of [(97, 2), 56, 79]-NRT-code), using construction X applied to AG(2;F,75P) ⊂ AG(2;F,93P) based on
  1. linear OOA(5116, 77, F5, 2, 78) (dual of [(77, 2), 38, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,75P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(598, 77, F5, 2, 60) (dual of [(77, 2), 56, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,93P) [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(5140, 98, F5, 2, 78) (dual of [(98, 2), 56, 79]-NRT-code) [i]NRT-Code Embedding in Larger Space