Information on Result #1121953

Linear OOA(281, 35, F2, 5, 35) (dual of [(35, 5), 94, 36]-NRT-code), using construction X applied to AG(5;F,124P) ⊂ AG(5;F,132P) based on
  1. linear OOA(274, 32, F2, 5, 35) (dual of [(32, 5), 86, 36]-NRT-code), using algebraic-geometric NRT-code AG(5;F,124P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(266, 32, F2, 5, 27) (dual of [(32, 5), 94, 28]-NRT-code), using algebraic-geometric NRT-code AG(5;F,132P) [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(281, 35, F2, 5, 34) (dual of [(35, 5), 94, 35]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2205, 77, F2, 5, 70) (dual of [(77, 5), 180, 71]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2206, 77, F2, 5, 71) (dual of [(77, 5), 179, 72]-NRT-code) [i]