Information on Result #1088673

Linear OOA(299, 37, F2, 4, 50) (dual of [(37, 4), 49, 51]-NRT-code), using construction X applied to AG(4;F,77P) ⊂ AG(4;F,87P) based on
  1. linear OOA(289, 32, F2, 4, 50) (dual of [(32, 4), 39, 51]-NRT-code), using algebraic-geometric NRT-code AG(4;F,77P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(279, 32, F2, 4, 40) (dual of [(32, 4), 49, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,87P) [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(299, 37, F2, 4, 49) (dual of [(37, 4), 49, 50]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(299, 37, F2, 4, 48) (dual of [(37, 4), 49, 49]-NRT-code) [i]