Information on Result #1090121

Linear OOA(3205, 59, F3, 4, 137) (dual of [(59, 4), 31, 138]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,56P) based on
  1. linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
  2. linear OOA(3109, 35, F3, 4, 83) (dual of [(35, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,56P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(366, 24, F3, 4, 53) (dual of [(24, 4), 30, 54]-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(3205, 59, F3, 4, 136) (dual of [(59, 4), 31, 137]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3205, 59, F3, 4, 135) (dual of [(59, 4), 31, 136]-NRT-code) [i]
3Linear OOA(3205, 59, F3, 4, 134) (dual of [(59, 4), 31, 135]-NRT-code) [i]