Information on Result #1121761

Linear OOA(2100, 26, F2, 5, 63) (dual of [(26, 5), 30, 64]-NRT-code), using construction X applied to AG(5;F,36P) ⊂ AG(5;F,51P) based on
  1. linear OOA(284, 20, F2, 5, 63) (dual of [(20, 5), 16, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,36P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(269, 20, F2, 5, 48) (dual of [(20, 5), 31, 49]-NRT-code), using algebraic-geometric NRT-code AG(5;F,51P) [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(2259, 58, F2, 5, 154) (dual of [(58, 5), 31, 155]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes