Information on Result #1122120

Linear OOA(294, 37, F2, 5, 42) (dual of [(37, 5), 91, 43]-NRT-code), using construction X applied to AG(5;F,117P) ⊂ AG(5;F,130P) based on
  1. linear OOA(281, 32, F2, 5, 42) (dual of [(32, 5), 79, 43]-NRT-code), using algebraic-geometric NRT-code AG(5;F,117P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(268, 32, F2, 5, 29) (dual of [(32, 5), 92, 30]-NRT-code), using algebraic-geometric NRT-code AG(5;F,130P) [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(294, 37, F2, 5, 41) (dual of [(37, 5), 91, 42]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2232, 79, F2, 5, 84) (dual of [(79, 5), 163, 85]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2233, 79, F2, 5, 85) (dual of [(79, 5), 162, 86]-NRT-code) [i]