Information on Result #1121325

Linear OOA(2109, 25, F2, 5, 75) (dual of [(25, 5), 16, 76]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,30P) based on
  1. linear OOA(279, 16, F2, 5, 79) (dual of [(16, 5), 1, 80]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
  2. linear OOA(264, 16, F2, 5, 49) (dual of [(16, 5), 16, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,30P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17 (see above)
  3. linear OOA(230, 9, F2, 5, 25) (dual of [(9, 5), 15, 26]-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, 5, 74) (dual of [(25, 5), 16, 75]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2109, 25, F2, 5, 73) (dual of [(25, 5), 16, 74]-NRT-code) [i]