Information on Result #1091627

Linear OOA(3182, 61, F3, 4, 106) (dual of [(61, 4), 62, 107]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,107P) based on
  1. linear OOA(3151, 47, F3, 4, 106) (dual of [(47, 4), 37, 107]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3125, 47, F3, 4, 80) (dual of [(47, 4), 63, 81]-NRT-code), using algebraic-geometric NRT-code AG(4;F,107P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(331, 14, F3, 4, 25) (dual of [(14, 4), 25, 26]-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(3182, 61, F3, 4, 105) (dual of [(61, 4), 62, 106]-NRT-code) [i]Strength Reduction for OOAs