Information on Result #1121921

Linear OOA(297, 35, F2, 5, 51) (dual of [(35, 5), 78, 52]-NRT-code), using construction X applied to AG(5;F,108P) ⊂ AG(5;F,116P) 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(282, 32, F2, 5, 43) (dual of [(32, 5), 78, 44]-NRT-code), using algebraic-geometric NRT-code AG(5;F,116P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(297, 35, F2, 5, 50) (dual of [(35, 5), 78, 51]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2253, 77, F2, 5, 102) (dual of [(77, 5), 132, 103]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2254, 77, F2, 5, 103) (dual of [(77, 5), 131, 104]-NRT-code) [i]