Information on Result #1088943

Linear OOA(2146, 46, F2, 4, 82) (dual of [(46, 4), 38, 83]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,91P) based on
  1. linear OOA(2136, 41, F2, 4, 82) (dual of [(41, 4), 28, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2126, 41, F2, 4, 72) (dual of [(41, 4), 38, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,91P) [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(2146, 46, F2, 4, 81) (dual of [(46, 4), 38, 82]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2146, 23, F2, 7, 82) (dual of [(23, 7), 15, 83]-NRT-code) [i]OOA Folding
3Linear OOA(2146, 23, F2, 8, 82) (dual of [(23, 8), 38, 83]-NRT-code) [i]