Information on Result #1091001

Linear OOA(3135, 51, F3, 4, 82) (dual of [(51, 4), 69, 83]-NRT-code), using construction X applied to AG(4;F,105P) ⊂ AG(4;F,114P) based on
  1. linear OOA(3127, 47, F3, 4, 82) (dual of [(47, 4), 61, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,105P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3118, 47, F3, 4, 73) (dual of [(47, 4), 70, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,114P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(38, 4, F3, 4, 8) (dual of [(4, 4), 8, 9]-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(3135, 51, F3, 4, 81) (dual of [(51, 4), 69, 82]-NRT-code) [i]Strength Reduction for OOAs