Information on Result #1148651

Linear OOA(2169, 45, F2, 6, 104) (dual of [(45, 6), 101, 105]-NRT-code), using construction X applied to AG(6;F,24P) ⊂ AG(6;F,26P) based on
  1. linear OOA(2161, 42, F2, 6, 107) (dual of [(42, 6), 91, 108]-NRT-code), using algebraic-geometric NRT-code AG(6;F,24P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2149, 42, F2, 6, 95) (dual of [(42, 6), 103, 96]-NRT-code), using algebraic-geometric NRT-code AG(6;F,26P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(28, 3, F2, 6, 8) (dual of [(3, 6), 10, 9]-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(2260, 78, F2, 6, 104) (dual of [(78, 6), 208, 105]-NRT-code) [i](u, u+v)-Construction for OOAs