Information on Result #1617638

Linear OOA(3136, 70, F3, 4, 73) (dual of [(70, 4), 144, 74]-NRT-code), using construction X applied to AG(4;F,178P) ⊂ AG(4;F,192P) based on
  1. linear OOA(3122, 63, F3, 4, 73) (dual of [(63, 4), 130, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,178P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
  2. linear OOA(3108, 63, F3, 4, 59) (dual of [(63, 4), 144, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,192P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using

Mode: 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(3136, 70, F3, 4, 72) (dual of [(70, 4), 144, 73]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3136, 70, F3, 4, 71) (dual of [(70, 4), 144, 72]-NRT-code) [i]