Information on Result #1177714

Linear OOA(2169, 44, F2, 8, 103) (dual of [(44, 8), 183, 104]-NRT-code), using construction X applied to AG(8;F,224P) ⊂ AG(8;F,237P) based on
  1. linear OOA(2157, 41, F2, 8, 103) (dual of [(41, 8), 171, 104]-NRT-code), using algebraic-geometric NRT-code AG(8;F,224P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2144, 41, F2, 8, 90) (dual of [(41, 8), 184, 91]-NRT-code), using algebraic-geometric NRT-code AG(8;F,237P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(212, 3, F2, 8, 12) (dual of [(3, 8), 12, 13]-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(2169, 44, F2, 8, 102) (dual of [(44, 8), 183, 103]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2169, 44, F2, 8, 101) (dual of [(44, 8), 183, 102]-NRT-code) [i]