Information on Result #1121720

Linear OOA(295, 25, F2, 5, 61) (dual of [(25, 5), 30, 62]-NRT-code), using construction X applied to AG(5;F,38P) ⊂ AG(5;F,51P) based on
  1. linear OOA(282, 20, F2, 5, 61) (dual of [(20, 5), 18, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,38P) [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(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(2254, 57, F2, 5, 152) (dual of [(57, 5), 31, 153]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes