Information on Result #1093509

Linear OOA(3131, 44, F3, 4, 88) (dual of [(44, 4), 45, 89]-NRT-code), using construction X applied to AG(4;F,27P) ⊂ AG(4;F,35P) based on
  1. linear OOA(3115, 36, F3, 4, 89) (dual of [(36, 4), 29, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,27P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(399, 36, F3, 4, 73) (dual of [(36, 4), 45, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(316, 8, F3, 4, 14) (dual of [(8, 4), 16, 15]-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(3131, 44, F3, 4, 87) (dual of [(44, 4), 45, 88]-NRT-code) [i]Strength Reduction for OOAs