Information on Result #1127878

Linear OOA(2242, 56, F2, 5, 150) (dual of [(56, 5), 38, 151]-NRT-code), using construction X applied to AG(5;F,44P) ⊂ AG(5;F,54P) based on
  1. linear OOA(2220, 48, F2, 5, 151) (dual of [(48, 5), 20, 152]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) 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(2200, 48, F2, 5, 131) (dual of [(48, 5), 40, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(222, 8, F2, 5, 18) (dual of [(8, 5), 18, 19]-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(2242, 56, F2, 5, 149) (dual of [(56, 5), 38, 150]-NRT-code) [i]Strength Reduction for OOAs