Information on Result #1030830

Linear OOA(3103, 39, F3, 3, 72) (dual of [(39, 3), 14, 73]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,28P) based on
  1. linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(367, 27, F3, 3, 52) (dual of [(27, 3), 14, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(323, 12, F3, 3, 19) (dual of [(12, 3), 13, 20]-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
only
Method
1Linear OOA(3103, 39, F3, 3, 71) (dual of [(39, 3), 14, 72]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3187, 67, F3, 3, 128) (dual of [(67, 3), 14, 129]-NRT-code) [i]Juxtaposition for OOAs