Information on Result #1616370

Linear OOA(2143, 50, F2, 4, 72) (dual of [(50, 4), 57, 73]-NRT-code), using construction X applied to AG(4;F,115P) ⊂ AG(4;F,122P) based on
  1. linear OOA(2137, 47, F2, 4, 72) (dual of [(47, 4), 51, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,115P) [i] based on function field F/F2 with g(F) = 65 and N(F) ≥ 48, using
  2. linear OOA(2130, 47, F2, 4, 65) (dual of [(47, 4), 58, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,122P) [i] based on function field F/F2 with g(F) = 65 and N(F) ≥ 48 (see above)
  3. linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using

Mode: 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(2143, 50, F2, 4, 71) (dual of [(50, 4), 57, 72]-NRT-code) [i]Strength Reduction for OOAs