Information on Result #1091361

Linear OOA(3190, 57, F3, 4, 124) (dual of [(57, 4), 38, 125]-NRT-code), using construction X applied to AG(4;F,63P) ⊂ AG(4;F,82P) based on
  1. linear OOA(3169, 47, F3, 4, 124) (dual of [(47, 4), 19, 125]-NRT-code), using algebraic-geometric NRT-code AG(4;F,63P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3150, 47, F3, 4, 105) (dual of [(47, 4), 38, 106]-NRT-code), using algebraic-geometric NRT-code AG(4;F,82P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(321, 10, F3, 4, 18) (dual of [(10, 4), 19, 19]-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(3190, 57, F3, 4, 123) (dual of [(57, 4), 38, 124]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3190, 57, F3, 4, 122) (dual of [(57, 4), 38, 123]-NRT-code) [i]