Information on Result #1042510

Linear OOA(8161, 111, F8, 3, 103) (dual of [(111, 3), 172, 104]-NRT-code), using construction X applied to AG(3;F,187P) ⊂ AG(3;F,208P) based on
  1. linear OOA(8140, 97, F8, 3, 103) (dual of [(97, 3), 151, 104]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [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(821, 14, F8, 3, 20) (dual of [(14, 3), 21, 21]-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(8161, 111, F8, 3, 102) (dual of [(111, 3), 172, 103]-NRT-code) [i]Strength Reduction for OOAs