Information on Result #1122813

Linear OOA(2259, 58, F2, 5, 161) (dual of [(58, 5), 31, 162]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,84P) based on
  1. linear OOA(2204, 41, F2, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2174, 41, F2, 5, 120) (dual of [(41, 5), 31, 121]-NRT-code), using algebraic-geometric NRT-code AG(5;F,84P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(255, 17, F2, 5, 40) (dual of [(17, 5), 30, 41]-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(2259, 58, F2, 5, 160) (dual of [(58, 5), 31, 161]-NRT-code) [i]Strength Reduction for OOAs