Information on Result #1030852

Linear OOA(3117, 46, F3, 3, 74) (dual of [(46, 3), 21, 75]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,35P) based on
  1. linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(360, 27, F3, 3, 45) (dual of [(27, 3), 21, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,35P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(337, 19, F3, 3, 28) (dual of [(19, 3), 20, 29]-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(3117, 46, F3, 3, 73) (dual of [(46, 3), 21, 74]-NRT-code) [i]Strength Reduction for OOAs