Information on Result #1616653

Linear OOA(3112, 58, F3, 4, 66) (dual of [(58, 4), 120, 67]-NRT-code), using construction X applied to AG(4;F,153P) ⊂ AG(4;F,160P) based on
  1. linear OOA(3106, 55, F3, 4, 66) (dual of [(55, 4), 114, 67]-NRT-code), using algebraic-geometric NRT-code AG(4;F,153P) [i] based on function field F/F3 with g(F) = 40 and N(F) ≥ 56, using
  2. linear OOA(399, 55, F3, 4, 59) (dual of [(55, 4), 121, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,160P) [i] based on function field F/F3 with g(F) = 40 and N(F) ≥ 56 (see above)
  3. linear OOA(36, 3, F3, 4, 6) (dual of [(3, 4), 6, 7]-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(3112, 58, F3, 4, 65) (dual of [(58, 4), 120, 66]-NRT-code) [i]Strength Reduction for OOAs