Information on Result #1032473

Linear OOA(488, 42, F4, 3, 57) (dual of [(42, 3), 38, 58]-NRT-code), using construction X applied to AG(3;F,38P) ⊂ AG(3;F,53P) based on
  1. linear OOA(472, 32, F4, 3, 57) (dual of [(32, 3), 24, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,38P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(457, 32, F4, 3, 42) (dual of [(32, 3), 39, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,53P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
  3. linear OOA(416, 10, F4, 3, 14) (dual of [(10, 3), 14, 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
result
only
Method
1Linear OOA(488, 42, F4, 3, 56) (dual of [(42, 3), 38, 57]-NRT-code) [i]Strength Reduction for OOAs