Information on Result #1121437

Linear OOA(2112, 25, F2, 5, 80) (dual of [(25, 5), 13, 81]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,31P) based on
  1. linear OOA(294, 19, F2, 5, 94) (dual of [(19, 5), 1, 95]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(282, 19, F2, 5, 63) (dual of [(19, 5), 13, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,31P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(218, 6, F2, 5, 16) (dual of [(6, 5), 12, 17]-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(2112, 25, F2, 5, 79) (dual of [(25, 5), 13, 80]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2112, 25, F2, 5, 78) (dual of [(25, 5), 13, 79]-NRT-code) [i]
3Linear OOA(2112, 25, F2, 5, 77) (dual of [(25, 5), 13, 78]-NRT-code) [i]
4Linear OOA(2112, 25, F2, 5, 76) (dual of [(25, 5), 13, 77]-NRT-code) [i]