Information on Result #1121929

Linear OOA(293, 35, F2, 5, 47) (dual of [(35, 5), 82, 48]-NRT-code), using construction X applied to AG(5;F,112P) ⊂ AG(5;F,120P) based on
  1. linear OOA(286, 32, F2, 5, 47) (dual of [(32, 5), 74, 48]-NRT-code), using algebraic-geometric NRT-code AG(5;F,112P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(278, 32, F2, 5, 39) (dual of [(32, 5), 82, 40]-NRT-code), using algebraic-geometric NRT-code AG(5;F,120P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (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(293, 35, F2, 5, 46) (dual of [(35, 5), 82, 47]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2241, 77, F2, 5, 94) (dual of [(77, 5), 144, 95]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(2246, 79, F2, 5, 94) (dual of [(79, 5), 149, 95]-NRT-code) [i]
4Linear OOA(2242, 77, F2, 5, 95) (dual of [(77, 5), 143, 96]-NRT-code) [i]
5Linear OOA(2247, 79, F2, 5, 95) (dual of [(79, 5), 148, 96]-NRT-code) [i]