Information on Result #921646

Linear OOA(5118, 97, F5, 2, 58) (dual of [(97, 2), 76, 59]-NRT-code), using construction X applied to AG(2;F,95P) ⊂ AG(2;F,113P) based on
  1. linear OOA(596, 77, F5, 2, 58) (dual of [(77, 2), 58, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(578, 77, F5, 2, 40) (dual of [(77, 2), 76, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,113P) [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(5120, 98, F5, 2, 58) (dual of [(98, 2), 76, 59]-NRT-code) [i]NRT-Code Embedding in Larger Space