Information on Result #1088650

Linear OOA(2122, 37, F2, 4, 73) (dual of [(37, 4), 26, 74]-NRT-code), using construction X applied to AG(4;F,54P) ⊂ AG(4;F,64P) based on
  1. linear OOA(2112, 32, F2, 4, 73) (dual of [(32, 4), 16, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2102, 32, F2, 4, 63) (dual of [(32, 4), 26, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 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(2122, 37, F2, 4, 72) (dual of [(37, 4), 26, 73]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2122, 37, F2, 4, 71) (dual of [(37, 4), 26, 72]-NRT-code) [i]