Information on Result #1121727

Linear OOA(288, 25, F2, 5, 54) (dual of [(25, 5), 37, 55]-NRT-code), using construction X applied to AG(5;F,45P) ⊂ AG(5;F,58P) based on
  1. linear OOA(275, 20, F2, 5, 54) (dual of [(20, 5), 25, 55]-NRT-code), using algebraic-geometric NRT-code AG(5;F,45P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(262, 20, F2, 5, 41) (dual of [(20, 5), 38, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,58P) [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(2247, 57, F2, 5, 138) (dual of [(57, 5), 38, 139]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes