Information on Result #1042661

Linear OOA(8173, 115, F8, 3, 108) (dual of [(115, 3), 172, 109]-NRT-code), using construction X applied to AG(3;F,182P) ⊂ AG(3;F,208P) based on
  1. linear OOA(8145, 97, F8, 3, 108) (dual of [(97, 3), 146, 109]-NRT-code), using algebraic-geometric NRT-code AG(3;F,182P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(8119, 97, F8, 3, 82) (dual of [(97, 3), 172, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,208P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(828, 18, F8, 3, 25) (dual of [(18, 3), 26, 26]-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(8173, 115, F8, 3, 107) (dual of [(115, 3), 172, 108]-NRT-code) [i]Strength Reduction for OOAs