Information on Result #1031538

Linear OOA(3112, 51, F3, 3, 61) (dual of [(51, 3), 41, 62]-NRT-code), using construction X applied to AG(3;F,79P) ⊂ AG(3;F,86P) based on
  1. linear OOA(3106, 47, F3, 3, 61) (dual of [(47, 3), 35, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,79P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(399, 47, F3, 3, 54) (dual of [(47, 3), 42, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,86P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(36, 4, F3, 3, 6) (dual of [(4, 3), 6, 7]-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(3112, 51, F3, 3, 60) (dual of [(51, 3), 41, 61]-NRT-code) [i]Strength Reduction for OOAs