Information on Result #1035022

Linear OOA(4259, 106, F4, 3, 182) (dual of [(106, 3), 59, 183]-NRT-code), using construction X applied to AG(3;F,126P) ⊂ AG(3;F,131P) based on
  1. linear OOA(4255, 103, F4, 3, 182) (dual of [(103, 3), 54, 183]-NRT-code), using algebraic-geometric NRT-code AG(3;F,126P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
  2. linear OOA(4250, 103, F4, 3, 177) (dual of [(103, 3), 59, 178]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
  3. linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-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(4259, 106, F4, 3, 181) (dual of [(106, 3), 59, 182]-NRT-code) [i]Strength Reduction for OOAs