Information on Result #1088658

Linear OOA(2114, 37, F2, 4, 65) (dual of [(37, 4), 34, 66]-NRT-code), using construction X applied to AG(4;F,62P) ⊂ AG(4;F,72P) based on
  1. linear OOA(2104, 32, F2, 4, 65) (dual of [(32, 4), 24, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(294, 32, F2, 4, 55) (dual of [(32, 4), 34, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,72P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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(2114, 37, F2, 4, 64) (dual of [(37, 4), 34, 65]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2114, 37, F2, 4, 63) (dual of [(37, 4), 34, 64]-NRT-code) [i]