Information on Result #1088318

Linear OOA(283, 25, F2, 4, 51) (dual of [(25, 4), 17, 52]-NRT-code), using construction X applied to AG(4;F,24P) ⊂ AG(4;F,36P) based on
  1. linear OOA(270, 19, F2, 4, 51) (dual of [(19, 4), 6, 52]-NRT-code), using algebraic-geometric NRT-code AG(4;F,24P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(258, 19, F2, 4, 39) (dual of [(19, 4), 18, 40]-NRT-code), using algebraic-geometric NRT-code AG(4;F,36P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(213, 6, F2, 4, 11) (dual of [(6, 4), 11, 12]-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(283, 25, F2, 4, 50) (dual of [(25, 4), 17, 51]-NRT-code) [i]Strength Reduction for OOAs