Information on Result #1128320

Linear OOA(2218, 62, F2, 5, 109) (dual of [(62, 5), 92, 110]-NRT-code), using construction X applied to AG(5;F,65P) ⊂ AG(5;F,80P) based on
  1. linear OOA(2178, 48, F2, 5, 109) (dual of [(48, 5), 62, 110]-NRT-code), using algebraic-geometric NRT-code AG(5;F,65P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2148, 48, F2, 5, 79) (dual of [(48, 5), 92, 80]-NRT-code), using algebraic-geometric NRT-code AG(5;F,80P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(240, 14, F2, 5, 29) (dual of [(14, 5), 30, 30]-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(2218, 62, F2, 5, 108) (dual of [(62, 5), 92, 109]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2218, 62, F2, 5, 107) (dual of [(62, 5), 92, 108]-NRT-code) [i]
3Linear OOA(2218, 62, F2, 5, 106) (dual of [(62, 5), 92, 107]-NRT-code) [i]
4Linear OOA(2219, 62, F2, 5, 109) (dual of [(62, 5), 91, 110]-NRT-code) [i]OOA Duplication
5Linear OOA(2221, 62, F2, 5, 109) (dual of [(62, 5), 89, 110]-NRT-code) [i]