Information on Result #1146638

Linear OOA(2109, 25, F2, 6, 73) (dual of [(25, 6), 41, 74]-NRT-code), using construction X applied to AG(6;F,46P) ⊂ AG(6;F,61P) based on
  1. linear OOA(294, 20, F2, 6, 73) (dual of [(20, 6), 26, 74]-NRT-code), using algebraic-geometric NRT-code AG(6;F,46P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(279, 20, F2, 6, 58) (dual of [(20, 6), 41, 59]-NRT-code), using algebraic-geometric NRT-code AG(6;F,61P) [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(2109, 25, F2, 6, 72) (dual of [(25, 6), 41, 73]-NRT-code) [i]Strength Reduction for OOAs