Information on Result #1126443

Linear OOA(3209, 55, F3, 5, 143) (dual of [(55, 5), 66, 144]-NRT-code), using construction X applied to AG(5;F,91P) ⊂ AG(5;F,111P) based on
  1. linear OOA(3188, 47, F3, 5, 143) (dual of [(47, 5), 47, 144]-NRT-code), using algebraic-geometric NRT-code AG(5;F,91P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3168, 47, F3, 5, 123) (dual of [(47, 5), 67, 124]-NRT-code), using algebraic-geometric NRT-code AG(5;F,111P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(321, 8, F3, 5, 19) (dual of [(8, 5), 19, 20]-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(3209, 55, F3, 5, 142) (dual of [(55, 5), 66, 143]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3209, 55, F3, 5, 141) (dual of [(55, 5), 66, 142]-NRT-code) [i]