Information on Result #1041592

Linear OOA(8109, 78, F8, 3, 74) (dual of [(78, 3), 125, 75]-NRT-code), using construction X applied to AG(3;F,117P) ⊂ AG(3;F,138P) based on
  1. linear OOA(888, 64, F8, 3, 74) (dual of [(64, 3), 104, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,117P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
  2. linear OOA(867, 64, F8, 3, 53) (dual of [(64, 3), 125, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (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(8109, 78, F8, 3, 73) (dual of [(78, 3), 125, 74]-NRT-code) [i]Strength Reduction for OOAs