Information on Result #1088948

Linear OOA(2141, 46, F2, 4, 77) (dual of [(46, 4), 43, 78]-NRT-code), using construction X applied to AG(4;F,86P) ⊂ AG(4;F,96P) based on
  1. linear OOA(2131, 41, F2, 4, 77) (dual of [(41, 4), 33, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,86P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2121, 41, F2, 4, 67) (dual of [(41, 4), 43, 68]-NRT-code), using algebraic-geometric NRT-code AG(4;F,96P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 10]-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(2141, 46, F2, 4, 76) (dual of [(46, 4), 43, 77]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2141, 23, F2, 7, 77) (dual of [(23, 7), 20, 78]-NRT-code) [i]OOA Folding
3Linear OOA(2141, 23, F2, 8, 77) (dual of [(23, 8), 43, 78]-NRT-code) [i]