Information on Result #1121489

Linear OOA(2100, 25, F2, 5, 65) (dual of [(25, 5), 25, 66]-NRT-code), using construction X applied to AG(5;F,29P) ⊂ AG(5;F,44P) based on
  1. linear OOA(284, 19, F2, 5, 65) (dual of [(19, 5), 11, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,29P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(269, 19, F2, 5, 50) (dual of [(19, 5), 26, 51]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-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(2100, 25, F2, 5, 64) (dual of [(25, 5), 25, 65]-NRT-code) [i]Strength Reduction for OOAs