Information on Result #1654738

Linear OOA(2256, 82, F2, 5, 128) (dual of [(82, 5), 154, 129]-NRT-code), using construction X applied to AG(5;F,266P) ⊂ AG(5;F,274P) based on
  1. linear OOA(2249, 79, F2, 5, 128) (dual of [(79, 5), 146, 129]-NRT-code), using algebraic-geometric NRT-code AG(5;F,266P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80, using
  2. linear OOA(2241, 79, F2, 5, 120) (dual of [(79, 5), 154, 121]-NRT-code), using algebraic-geometric NRT-code AG(5;F,274P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2256, 82, F2, 5, 127) (dual of [(82, 5), 154, 128]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2256, 82, F2, 5, 126) (dual of [(82, 5), 154, 127]-NRT-code) [i]