Information on Result #1122057

Linear OOA(2157, 37, F2, 5, 105) (dual of [(37, 5), 28, 106]-NRT-code), using construction X applied to AG(5;F,54P) ⊂ AG(5;F,67P) based on
  1. linear OOA(2144, 32, F2, 5, 105) (dual of [(32, 5), 16, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2131, 32, F2, 5, 92) (dual of [(32, 5), 29, 93]-NRT-code), using algebraic-geometric NRT-code AG(5;F,67P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(213, 5, F2, 5, 12) (dual of [(5, 5), 12, 13]-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(2157, 37, F2, 5, 104) (dual of [(37, 5), 28, 105]-NRT-code) [i]Strength Reduction for OOAs