Information on Result #1127042

Linear OOA(3188, 61, F3, 5, 105) (dual of [(61, 5), 117, 106]-NRT-code), using construction X applied to AG(5;F,129P) ⊂ AG(5;F,162P) based on
  1. linear OOA(3150, 47, F3, 5, 105) (dual of [(47, 5), 85, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,129P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3117, 47, F3, 5, 72) (dual of [(47, 5), 118, 73]-NRT-code), using algebraic-geometric NRT-code AG(5;F,162P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(338, 14, F3, 5, 32) (dual of [(14, 5), 32, 33]-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(3188, 61, F3, 5, 104) (dual of [(61, 5), 117, 105]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3188, 61, F3, 5, 103) (dual of [(61, 5), 117, 104]-NRT-code) [i]