Information on Result #1122111

Linear OOA(2103, 37, F2, 5, 51) (dual of [(37, 5), 82, 52]-NRT-code), using construction X applied to AG(5;F,108P) ⊂ AG(5;F,121P) based on
  1. linear OOA(290, 32, F2, 5, 51) (dual of [(32, 5), 70, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,108P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(277, 32, F2, 5, 38) (dual of [(32, 5), 83, 39]-NRT-code), using algebraic-geometric NRT-code AG(5;F,121P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-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(2103, 37, F2, 5, 50) (dual of [(37, 5), 82, 51]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2259, 79, F2, 5, 102) (dual of [(79, 5), 136, 103]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2260, 79, F2, 5, 103) (dual of [(79, 5), 135, 104]-NRT-code) [i]