Information on Result #1047445

Linear OOA(3104, 44, F3, 3, 65) (dual of [(44, 3), 28, 66]-NRT-code), using construction X applied to AG(3;F,21P) ⊂ AG(3;F,27P) based on
  1. linear OOA(391, 36, F3, 3, 65) (dual of [(36, 3), 17, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,21P) 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(379, 36, F3, 3, 53) (dual of [(36, 3), 29, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,27P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(313, 8, F3, 3, 11) (dual of [(8, 3), 11, 12]-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(3104, 44, F3, 3, 64) (dual of [(44, 3), 28, 65]-NRT-code) [i]Strength Reduction for OOAs