Information on Result #1127858

Linear OOA(2163, 55, F2, 5, 74) (dual of [(55, 5), 112, 75]-NRT-code), using construction X applied to AG(5;F,82P) ⊂ AG(5;F,91P) based on
  1. linear OOA(2144, 48, F2, 5, 75) (dual of [(48, 5), 96, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,82P) 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(2126, 48, F2, 5, 57) (dual of [(48, 5), 114, 58]-NRT-code), using algebraic-geometric NRT-code AG(5;F,91P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(219, 7, F2, 5, 16) (dual of [(7, 5), 16, 17]-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
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Method
1Linear OOA(2163, 55, F2, 5, 73) (dual of [(55, 5), 112, 74]-NRT-code) [i]Strength Reduction for OOAs