Information on Result #1146416

Linear OOA(2135, 25, F2, 6, 101) (dual of [(25, 6), 15, 102]-NRT-code), using construction X applied to AG(6;F,0P) ⊂ AG(6;F,33P) based on
  1. linear OOA(2113, 19, F2, 6, 113) (dual of [(19, 6), 1, 114]-NRT-code), using algebraic-geometric NRT-code AG(6;F,0P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(299, 19, F2, 6, 80) (dual of [(19, 6), 15, 81]-NRT-code), using algebraic-geometric NRT-code AG(6;F,33P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(222, 6, F2, 6, 20) (dual of [(6, 6), 14, 21]-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(2135, 25, F2, 6, 100) (dual of [(25, 6), 15, 101]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2135, 25, F2, 6, 99) (dual of [(25, 6), 15, 100]-NRT-code) [i]
3Linear OOA(2135, 25, F2, 6, 98) (dual of [(25, 6), 15, 99]-NRT-code) [i]
4Linear OOA(2135, 25, F2, 6, 97) (dual of [(25, 6), 15, 98]-NRT-code) [i]