Information on Result #1128064

Linear OOA(2250, 58, F2, 5, 152) (dual of [(58, 5), 40, 153]-NRT-code), using construction X applied to AG(5;F,43P) ⊂ AG(5;F,55P) based on
  1. linear OOA(2222, 48, F2, 5, 153) (dual of [(48, 5), 18, 154]-NRT-code), using algebraic-geometric NRT-code AG(5;F,43P) 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(2198, 48, F2, 5, 129) (dual of [(48, 5), 42, 130]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) 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(2250, 58, F2, 5, 151) (dual of [(58, 5), 40, 152]-NRT-code) [i]Strength Reduction for OOAs