Information on Result #1091258

Linear OOA(3169, 55, F3, 4, 107) (dual of [(55, 4), 51, 108]-NRT-code), using construction X applied to AG(4;F,80P) ⊂ AG(4;F,96P) based on
  1. linear OOA(3152, 47, F3, 4, 107) (dual of [(47, 4), 36, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,80P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3136, 47, F3, 4, 91) (dual of [(47, 4), 52, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,96P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(317, 8, F3, 4, 15) (dual of [(8, 4), 15, 16]-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(3169, 55, F3, 4, 106) (dual of [(55, 4), 51, 107]-NRT-code) [i]Strength Reduction for OOAs