Information on Result #1031533

Linear OOA(3117, 51, F3, 3, 66) (dual of [(51, 3), 36, 67]-NRT-code), using construction X applied to AG(3;F,74P) ⊂ AG(3;F,81P) based on
  1. linear OOA(3111, 47, F3, 3, 66) (dual of [(47, 3), 30, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,74P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3104, 47, F3, 3, 59) (dual of [(47, 3), 37, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(36, 4, F3, 3, 6) (dual of [(4, 3), 6, 7]-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(3117, 51, F3, 3, 65) (dual of [(51, 3), 36, 66]-NRT-code) [i]Strength Reduction for OOAs