Information on Result #1042503

Linear OOA(8168, 111, F8, 3, 110) (dual of [(111, 3), 165, 111]-NRT-code), using construction X applied to AG(3;F,180P) ⊂ AG(3;F,201P) based on
  1. linear OOA(8147, 97, F8, 3, 110) (dual of [(97, 3), 144, 111]-NRT-code), using algebraic-geometric NRT-code AG(3;F,180P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(8126, 97, F8, 3, 89) (dual of [(97, 3), 165, 90]-NRT-code), using algebraic-geometric NRT-code AG(3;F,201P) [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(8168, 111, F8, 3, 109) (dual of [(111, 3), 165, 110]-NRT-code) [i]Strength Reduction for OOAs