Information on Result #1122348

Linear OOA(2141, 44, F2, 5, 80) (dual of [(44, 5), 79, 81]-NRT-code), using construction X applied to AG(5;F,124P) ⊂ AG(5;F,132P) based on
  1. linear OOA(2134, 41, F2, 5, 80) (dual of [(41, 5), 71, 81]-NRT-code), using algebraic-geometric NRT-code AG(5;F,124P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2126, 41, F2, 5, 72) (dual of [(41, 5), 79, 73]-NRT-code), using algebraic-geometric NRT-code AG(5;F,132P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2141, 44, F2, 5, 79) (dual of [(44, 5), 79, 80]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2141, 44, F2, 5, 78) (dual of [(44, 5), 79, 79]-NRT-code) [i]