Information on Result #1128139

Linear OOA(2200, 58, F2, 5, 102) (dual of [(58, 5), 90, 103]-NRT-code), using construction X applied to AG(5;F,68P) ⊂ AG(5;F,80P) based on
  1. linear OOA(2172, 48, F2, 5, 103) (dual of [(48, 5), 68, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,68P) 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(228, 10, F2, 5, 22) (dual of [(10, 5), 22, 23]-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
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Method
1Linear OOA(2200, 58, F2, 5, 101) (dual of [(58, 5), 90, 102]-NRT-code) [i]Strength Reduction for OOAs