Information on Result #1122416

Linear OOA(2107, 44, F2, 5, 46) (dual of [(44, 5), 113, 47]-NRT-code), using construction X applied to AG(5;F,158P) ⊂ AG(5;F,166P) based on
  1. linear OOA(2100, 41, F2, 5, 46) (dual of [(41, 5), 105, 47]-NRT-code), using algebraic-geometric NRT-code AG(5;F,158P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(292, 41, F2, 5, 38) (dual of [(41, 5), 113, 39]-NRT-code), using algebraic-geometric NRT-code AG(5;F,166P) [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(2107, 44, F2, 5, 45) (dual of [(44, 5), 113, 46]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2107, 44, F2, 5, 44) (dual of [(44, 5), 113, 45]-NRT-code) [i]