Information on Result #1122141

Linear OOA(2234, 51, F2, 5, 157) (dual of [(51, 5), 21, 158]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,59P) based on
  1. linear OOA(2159, 32, F2, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2139, 32, F2, 5, 100) (dual of [(32, 5), 21, 101]-NRT-code), using algebraic-geometric NRT-code AG(5;F,59P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(275, 19, F2, 5, 56) (dual of [(19, 5), 20, 57]-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(2234, 51, F2, 5, 156) (dual of [(51, 5), 21, 157]-NRT-code) [i]Strength Reduction for OOAs