Information on Result #1121598

Linear OOA(285, 23, F2, 5, 57) (dual of [(23, 5), 30, 58]-NRT-code), using construction X applied to AG(5;F,42P) ⊂ AG(5;F,50P) based on
  1. linear OOA(278, 20, F2, 5, 57) (dual of [(20, 5), 22, 58]-NRT-code), using algebraic-geometric NRT-code AG(5;F,42P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(270, 20, F2, 5, 49) (dual of [(20, 5), 30, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,50P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2244, 55, F2, 5, 148) (dual of [(55, 5), 31, 149]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes