Information on Result #1177822

Linear OOA(2115, 44, F2, 8, 49) (dual of [(44, 8), 237, 50]-NRT-code), using construction X applied to AG(8;F,278P) ⊂ AG(8;F,291P) based on
  1. linear OOA(2103, 41, F2, 8, 49) (dual of [(41, 8), 225, 50]-NRT-code), using algebraic-geometric NRT-code AG(8;F,278P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(290, 41, F2, 8, 36) (dual of [(41, 8), 238, 37]-NRT-code), using algebraic-geometric NRT-code AG(8;F,291P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(212, 3, F2, 8, 12) (dual of [(3, 8), 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(2115, 44, F2, 8, 48) (dual of [(44, 8), 237, 49]-NRT-code) [i]Strength Reduction for OOAs