Information on Result #1161778

Linear OOA(2101, 23, F2, 7, 70) (dual of [(23, 7), 60, 71]-NRT-code), using construction X applied to AG(7;F,69P) ⊂ AG(7;F,80P) based on
  1. linear OOA(291, 20, F2, 7, 70) (dual of [(20, 7), 49, 71]-NRT-code), using algebraic-geometric NRT-code AG(7;F,69P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(280, 20, F2, 7, 59) (dual of [(20, 7), 60, 60]-NRT-code), using algebraic-geometric NRT-code AG(7;F,80P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(210, 3, F2, 7, 10) (dual of [(3, 7), 11, 11]-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(2101, 23, F2, 7, 69) (dual of [(23, 7), 60, 70]-NRT-code) [i]Strength Reduction for OOAs