Information on Result #1121768

Linear OOA(293, 26, F2, 5, 56) (dual of [(26, 5), 37, 57]-NRT-code), using construction X applied to AG(5;F,43P) ⊂ AG(5;F,58P) based on
  1. linear OOA(277, 20, F2, 5, 56) (dual of [(20, 5), 23, 57]-NRT-code), using algebraic-geometric NRT-code AG(5;F,43P) [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(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-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(2252, 58, F2, 5, 140) (dual of [(58, 5), 38, 141]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes