Information on Result #1146654

Linear OOA(293, 25, F2, 6, 57) (dual of [(25, 6), 57, 58]-NRT-code), using construction X applied to AG(6;F,62P) ⊂ AG(6;F,77P) based on
  1. linear OOA(278, 20, F2, 6, 57) (dual of [(20, 6), 42, 58]-NRT-code), using algebraic-geometric NRT-code AG(6;F,62P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(263, 20, F2, 6, 42) (dual of [(20, 6), 57, 43]-NRT-code), using algebraic-geometric NRT-code AG(6;F,77P) [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(293, 25, F2, 6, 56) (dual of [(25, 6), 57, 57]-NRT-code) [i]Strength Reduction for OOAs