Information on Result #1032471

Linear OOA(490, 42, F4, 3, 59) (dual of [(42, 3), 36, 60]-NRT-code), using construction X applied to AG(3;F,36P) ⊂ AG(3;F,51P) based on
  1. linear OOA(474, 32, F4, 3, 59) (dual of [(32, 3), 22, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
  2. linear OOA(459, 32, F4, 3, 44) (dual of [(32, 3), 37, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,51P) [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(490, 42, F4, 3, 58) (dual of [(42, 3), 36, 59]-NRT-code) [i]Strength Reduction for OOAs