Information on Result #1032252

Linear OOA(453, 37, F4, 3, 31) (dual of [(37, 3), 58, 32]-NRT-code), using construction X applied to AG(3;F,64P) ⊂ AG(3;F,72P) based on
  1. linear OOA(446, 32, F4, 3, 31) (dual of [(32, 3), 50, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,64P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(438, 32, F4, 3, 23) (dual of [(32, 3), 58, 24]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) [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(453, 37, F4, 3, 30) (dual of [(37, 3), 58, 31]-NRT-code) [i]Strength Reduction for OOAs