Information on Result #1126501

Linear OOA(3151, 55, F3, 5, 85) (dual of [(55, 5), 124, 86]-NRT-code), using construction X applied to AG(5;F,149P) ⊂ AG(5;F,169P) based on
  1. linear OOA(3130, 47, F3, 5, 85) (dual of [(47, 5), 105, 86]-NRT-code), using algebraic-geometric NRT-code AG(5;F,149P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3110, 47, F3, 5, 65) (dual of [(47, 5), 125, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,169P) [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(3151, 55, F3, 5, 84) (dual of [(55, 5), 124, 85]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3151, 55, F3, 5, 83) (dual of [(55, 5), 124, 84]-NRT-code) [i]