Information on Result #1127551

Linear OOA(2210, 52, F2, 5, 131) (dual of [(52, 5), 50, 132]-NRT-code), using construction X applied to AG(5;F,54P) ⊂ AG(5;F,59P) based on
  1. linear OOA(2200, 48, F2, 5, 131) (dual of [(48, 5), 40, 132]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2190, 48, F2, 5, 121) (dual of [(48, 5), 50, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,59P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(210, 4, F2, 5, 9) (dual of [(4, 5), 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(2210, 52, F2, 5, 130) (dual of [(52, 5), 50, 131]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2210, 52, F2, 5, 129) (dual of [(52, 5), 50, 130]-NRT-code) [i]
3Linear OOA(2211, 52, F2, 5, 131) (dual of [(52, 5), 49, 132]-NRT-code) [i]OOA Duplication