Information on Result #1036084

Linear OOA(4258, 115, F4, 3, 166) (dual of [(115, 3), 87, 167]-NRT-code), using construction X applied to AG(3;F,142P) ⊂ AG(3;F,159P) based on
  1. linear OOA(4239, 103, F4, 3, 166) (dual of [(103, 3), 70, 167]-NRT-code), using algebraic-geometric NRT-code AG(3;F,142P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
  2. linear OOA(4222, 103, F4, 3, 149) (dual of [(103, 3), 87, 150]-NRT-code), using algebraic-geometric NRT-code AG(3;F,159P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
  3. linear OOA(419, 12, F4, 3, 16) (dual of [(12, 3), 17, 17]-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(4258, 115, F4, 3, 165) (dual of [(115, 3), 87, 166]-NRT-code) [i]Strength Reduction for OOAs