Information on Result #1121488

Linear OOA(2101, 25, F2, 5, 66) (dual of [(25, 5), 24, 67]-NRT-code), using construction X applied to AG(5;F,28P) ⊂ AG(5;F,43P) based on
  1. linear OOA(285, 19, F2, 5, 66) (dual of [(19, 5), 10, 67]-NRT-code), using algebraic-geometric NRT-code AG(5;F,28P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(270, 19, F2, 5, 51) (dual of [(19, 5), 25, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,43P) [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(2101, 25, F2, 5, 65) (dual of [(25, 5), 24, 66]-NRT-code) [i]Strength Reduction for OOAs