Information on Result #1088843

Linear OOA(2110, 44, F2, 4, 50) (dual of [(44, 4), 66, 51]-NRT-code), using construction X applied to AG(4;F,113P) ⊂ AG(4;F,120P) based on
  1. linear OOA(2104, 41, F2, 4, 50) (dual of [(41, 4), 60, 51]-NRT-code), using algebraic-geometric NRT-code AG(4;F,113P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(297, 41, F2, 4, 43) (dual of [(41, 4), 67, 44]-NRT-code), using algebraic-geometric NRT-code AG(4;F,120P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-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(2110, 44, F2, 4, 49) (dual of [(44, 4), 66, 50]-NRT-code) [i]Strength Reduction for OOAs