Information on Result #1091231

Linear OOA(3128, 54, F3, 4, 69) (dual of [(54, 4), 88, 70]-NRT-code), using construction X applied to AG(4;F,118P) ⊂ AG(4;F,132P) based on
  1. linear OOA(3114, 47, F3, 4, 69) (dual of [(47, 4), 74, 70]-NRT-code), using algebraic-geometric NRT-code AG(4;F,118P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3100, 47, F3, 4, 55) (dual of [(47, 4), 88, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,132P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-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(3128, 54, F3, 4, 68) (dual of [(54, 4), 88, 69]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3128, 54, F3, 4, 67) (dual of [(54, 4), 88, 68]-NRT-code) [i]