Information on Result #1088383

Linear OOA(277, 27, F2, 4, 40) (dual of [(27, 4), 31, 41]-NRT-code), using construction X applied to AG(4;F,35P) ⊂ AG(4;F,50P) based on
  1. linear OOA(259, 19, F2, 4, 40) (dual of [(19, 4), 17, 41]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(244, 19, F2, 4, 25) (dual of [(19, 4), 32, 26]-NRT-code), using algebraic-geometric NRT-code AG(4;F,50P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(218, 8, F2, 4, 14) (dual of [(8, 4), 14, 15]-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(277, 27, F2, 4, 39) (dual of [(27, 4), 31, 40]-NRT-code) [i]Strength Reduction for OOAs