Information on Result #1146643

Linear OOA(2104, 25, F2, 6, 68) (dual of [(25, 6), 46, 69]-NRT-code), using construction X applied to AG(6;F,51P) ⊂ AG(6;F,66P) based on
  1. linear OOA(289, 20, F2, 6, 68) (dual of [(20, 6), 31, 69]-NRT-code), using algebraic-geometric NRT-code AG(6;F,51P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(274, 20, F2, 6, 53) (dual of [(20, 6), 46, 54]-NRT-code), using algebraic-geometric NRT-code AG(6;F,66P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(215, 5, F2, 6, 14) (dual of [(5, 6), 15, 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(2104, 25, F2, 6, 67) (dual of [(25, 6), 46, 68]-NRT-code) [i]Strength Reduction for OOAs