Information on Result #1122642

Linear OOA(2249, 55, F2, 5, 160) (dual of [(55, 5), 26, 161]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,79P) 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(2179, 41, F2, 5, 125) (dual of [(41, 5), 26, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,79P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(245, 14, F2, 5, 34) (dual of [(14, 5), 25, 35]-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(2249, 55, F2, 5, 159) (dual of [(55, 5), 26, 160]-NRT-code) [i]Strength Reduction for OOAs