Information on Result #1122314

Linear OOA(2158, 44, F2, 5, 97) (dual of [(44, 5), 62, 98]-NRT-code), using construction X applied to AG(5;F,107P) ⊂ AG(5;F,115P) based on
  1. linear OOA(2151, 41, F2, 5, 97) (dual of [(41, 5), 54, 98]-NRT-code), using algebraic-geometric NRT-code AG(5;F,107P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2143, 41, F2, 5, 89) (dual of [(41, 5), 62, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,115P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(27, 3, F2, 5, 7) (dual of [(3, 5), 8, 8]-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(2158, 44, F2, 5, 96) (dual of [(44, 5), 62, 97]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2158, 44, F2, 5, 95) (dual of [(44, 5), 62, 96]-NRT-code) [i]