Information on Result #1127934

Linear OOA(2186, 56, F2, 5, 94) (dual of [(56, 5), 94, 95]-NRT-code), using construction X applied to AG(5;F,72P) ⊂ AG(5;F,82P) based on
  1. linear OOA(2164, 48, F2, 5, 95) (dual of [(48, 5), 76, 96]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) 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(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 (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(2186, 56, F2, 5, 93) (dual of [(56, 5), 94, 94]-NRT-code) [i]Strength Reduction for OOAs