Information on Result #1122288

Linear OOA(2171, 44, F2, 5, 110) (dual of [(44, 5), 49, 111]-NRT-code), using construction X applied to AG(5;F,94P) ⊂ AG(5;F,102P) based on
  1. linear OOA(2164, 41, F2, 5, 110) (dual of [(41, 5), 41, 111]-NRT-code), using algebraic-geometric NRT-code AG(5;F,94P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2156, 41, F2, 5, 102) (dual of [(41, 5), 49, 103]-NRT-code), using algebraic-geometric NRT-code AG(5;F,102P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2171, 44, F2, 5, 109) (dual of [(44, 5), 49, 110]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2171, 44, F2, 5, 108) (dual of [(44, 5), 49, 109]-NRT-code) [i]