Information on Result #1126340

Linear OOA(3205, 54, F3, 5, 142) (dual of [(54, 5), 65, 143]-NRT-code), using construction X applied to AG(5;F,92P) ⊂ AG(5;F,110P) based on
  1. linear OOA(3187, 47, F3, 5, 142) (dual of [(47, 5), 48, 143]-NRT-code), using algebraic-geometric NRT-code AG(5;F,92P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3169, 47, F3, 5, 124) (dual of [(47, 5), 66, 125]-NRT-code), using algebraic-geometric NRT-code AG(5;F,110P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(318, 7, F3, 5, 17) (dual of [(7, 5), 17, 18]-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(3205, 54, F3, 5, 141) (dual of [(54, 5), 65, 142]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3205, 54, F3, 5, 140) (dual of [(54, 5), 65, 141]-NRT-code) [i]