Information on Result #1088779

Linear OOA(2142, 44, F2, 4, 82) (dual of [(44, 4), 34, 83]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,88P) based on
  1. linear OOA(2136, 41, F2, 4, 82) (dual of [(41, 4), 28, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2129, 41, F2, 4, 75) (dual of [(41, 4), 35, 76]-NRT-code), using algebraic-geometric NRT-code AG(4;F,88P) [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(2142, 44, F2, 4, 81) (dual of [(44, 4), 34, 82]-NRT-code) [i]Strength Reduction for OOAs