Information on Result #1122145

Linear OOA(2241, 53, F2, 5, 159) (dual of [(53, 5), 24, 160]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,62P) based on
  1. linear OOA(2159, 32, F2, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2136, 32, F2, 5, 97) (dual of [(32, 5), 24, 98]-NRT-code), using algebraic-geometric NRT-code AG(5;F,62P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(282, 21, F2, 5, 61) (dual of [(21, 5), 23, 62]-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(2241, 53, F2, 5, 158) (dual of [(53, 5), 24, 159]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2241, 53, F2, 5, 157) (dual of [(53, 5), 24, 158]-NRT-code) [i]
3Linear OOA(2241, 53, F2, 5, 156) (dual of [(53, 5), 24, 157]-NRT-code) [i]
4Linear OOA(2242, 53, F2, 5, 159) (dual of [(53, 5), 23, 160]-NRT-code) [i]OOA Duplication