Information on Result #1127224

Linear OOA(2129, 44, F2, 5, 70) (dual of [(44, 5), 91, 71]-NRT-code), using construction X applied to AG(5;F,23P) ⊂ AG(5;F,24P) based on
  1. linear OOA(2125, 42, F2, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2119, 42, F2, 5, 65) (dual of [(42, 5), 91, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,24P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-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(2129, 44, F2, 5, 69) (dual of [(44, 5), 91, 70]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2128, 43, F2, 5, 69) (dual of [(43, 5), 87, 70]-NRT-code) [i]Truncation for OOAs
3Linear OOA(2127, 43, F2, 5, 68) (dual of [(43, 5), 88, 69]-NRT-code) [i]
4Linear OOA(2126, 43, F2, 5, 67) (dual of [(43, 5), 89, 68]-NRT-code) [i]
5Linear OOA(2125, 43, F2, 5, 66) (dual of [(43, 5), 90, 67]-NRT-code) [i]
6Linear OOA(2126, 44, F2, 4, 67) (dual of [(44, 4), 50, 68]-NRT-code) [i]m-Reduction for OOAs
7Linear OOA(2125, 44, F2, 4, 66) (dual of [(44, 4), 51, 67]-NRT-code) [i]
8Linear OOA(2203, 77, F2, 5, 70) (dual of [(77, 5), 182, 71]-NRT-code) [i](u, u+v)-Construction for OOAs