Information on Result #1121724

Linear OOA(291, 25, F2, 5, 57) (dual of [(25, 5), 34, 58]-NRT-code), using construction X applied to AG(5;F,42P) ⊂ AG(5;F,55P) 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(265, 20, F2, 5, 44) (dual of [(20, 5), 35, 45]-NRT-code), using algebraic-geometric NRT-code AG(5;F,55P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-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(2250, 57, F2, 5, 144) (dual of [(57, 5), 35, 145]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes