Information on Result #1088995

Linear OOA(2153, 47, F2, 4, 86) (dual of [(47, 4), 35, 87]-NRT-code), using construction X applied to AG(4;F,77P) ⊂ AG(4;F,89P) based on
  1. linear OOA(2140, 41, F2, 4, 86) (dual of [(41, 4), 24, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,77P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2128, 41, F2, 4, 74) (dual of [(41, 4), 36, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,89P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (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(2153, 47, F2, 4, 85) (dual of [(47, 4), 35, 86]-NRT-code) [i]Strength Reduction for OOAs