Information on Result #1032254

Linear OOA(451, 37, F4, 3, 29) (dual of [(37, 3), 60, 30]-NRT-code), using construction X applied to AG(3;F,66P) ⊂ AG(3;F,74P) based on
  1. linear OOA(444, 32, F4, 3, 29) (dual of [(32, 3), 52, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,66P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(436, 32, F4, 3, 21) (dual of [(32, 3), 60, 22]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
  3. linear OOA(47, 5, F4, 3, 7) (dual of [(5, 3), 8, 8]-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(451, 37, F4, 3, 28) (dual of [(37, 3), 60, 29]-NRT-code) [i]Strength Reduction for OOAs