Information on Result #1122613

Linear OOA(2121, 46, F2, 5, 54) (dual of [(46, 5), 109, 55]-NRT-code), using construction X applied to AG(5;F,150P) ⊂ AG(5;F,163P) based on
  1. linear OOA(2108, 41, F2, 5, 54) (dual of [(41, 5), 97, 55]-NRT-code), using algebraic-geometric NRT-code AG(5;F,150P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(295, 41, F2, 5, 41) (dual of [(41, 5), 110, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,163P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-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(2121, 46, F2, 5, 53) (dual of [(46, 5), 109, 54]-NRT-code) [i]Strength Reduction for OOAs