Information on Result #1039484

Linear OOA(5123, 83, F5, 3, 76) (dual of [(83, 3), 126, 77]-NRT-code), using construction X applied to AG(3;F,154P) ⊂ AG(3;F,164P) based on
  1. linear OOA(5114, 77, F5, 3, 76) (dual of [(77, 3), 117, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,154P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
  2. linear OOA(5104, 77, F5, 3, 66) (dual of [(77, 3), 127, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,164P) [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78 (see above)
  3. linear OOA(59, 6, F5, 3, 9) (dual of [(6, 3), 9, 10]-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(5123, 83, F5, 3, 75) (dual of [(83, 3), 126, 76]-NRT-code) [i]Strength Reduction for OOAs