Information on Result #1146853

Linear OOA(2174, 44, F2, 6, 111) (dual of [(44, 6), 90, 112]-NRT-code), using construction X applied to AG(6;F,134P) ⊂ AG(6;F,144P) based on
  1. linear OOA(2165, 41, F2, 6, 111) (dual of [(41, 6), 81, 112]-NRT-code), using algebraic-geometric NRT-code AG(6;F,134P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2155, 41, F2, 6, 101) (dual of [(41, 6), 91, 102]-NRT-code), using algebraic-geometric NRT-code AG(6;F,144P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(29, 3, F2, 6, 9) (dual of [(3, 6), 9, 10]-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(2174, 44, F2, 6, 110) (dual of [(44, 6), 90, 111]-NRT-code) [i]Strength Reduction for OOAs