Information on Result #924968

Linear OOA(8170, 125, F8, 2, 103) (dual of [(125, 2), 80, 104]-NRT-code), using construction X applied to AG(2;F,90P) ⊂ AG(2;F,116P) based on
  1. linear OOA(8140, 97, F8, 2, 103) (dual of [(97, 2), 54, 104]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(8114, 97, F8, 2, 77) (dual of [(97, 2), 80, 78]-NRT-code), using algebraic-geometric NRT-code AG(2;F,116P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(830, 28, F8, 2, 25) (dual of [(28, 2), 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(8170, 125, F8, 2, 102) (dual of [(125, 2), 80, 103]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8172, 126, F8, 2, 103) (dual of [(126, 2), 80, 104]-NRT-code) [i]NRT-Code Embedding in Larger Space