Information on Result #1030859

Linear OOA(3128, 51, F3, 3, 77) (dual of [(51, 3), 25, 78]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,39P) based on
  1. linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(356, 27, F3, 3, 41) (dual of [(27, 3), 25, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,39P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(348, 24, F3, 3, 35) (dual of [(24, 3), 24, 36]-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, 51, F3, 3, 76) (dual of [(51, 3), 25, 77]-NRT-code) [i]Strength Reduction for OOAs