Information on Result #921533

Linear OOA(5107, 93, F5, 2, 52) (dual of [(93, 2), 79, 53]-NRT-code), using construction X applied to AG(2;F,101P) ⊂ AG(2;F,116P) based on
  1. linear OOA(590, 77, F5, 2, 52) (dual of [(77, 2), 64, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(575, 77, F5, 2, 37) (dual of [(77, 2), 79, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,116P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(517, 16, F5, 2, 14) (dual of [(16, 2), 15, 15]-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(5109, 94, F5, 2, 52) (dual of [(94, 2), 79, 53]-NRT-code) [i]NRT-Code Embedding in Larger Space