Information on Result #1127209

Linear OOA(2159, 44, F2, 5, 100) (dual of [(44, 5), 61, 101]-NRT-code), using construction X applied to AG(5;F,18P) ⊂ AG(5;F,19P) based on
  1. linear OOA(2155, 42, F2, 5, 101) (dual of [(42, 5), 55, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,18P) 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(2149, 42, F2, 5, 95) (dual of [(42, 5), 61, 96]-NRT-code), using algebraic-geometric NRT-code AG(5;F,19P) 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(2159, 44, F2, 5, 99) (dual of [(44, 5), 61, 100]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2158, 43, F2, 5, 99) (dual of [(43, 5), 57, 100]-NRT-code) [i]Truncation for OOAs
3Linear OOA(2157, 43, F2, 5, 98) (dual of [(43, 5), 58, 99]-NRT-code) [i]
4Linear OOA(2156, 43, F2, 5, 97) (dual of [(43, 5), 59, 98]-NRT-code) [i]
5Linear OOA(2155, 43, F2, 5, 96) (dual of [(43, 5), 60, 97]-NRT-code) [i]
6Linear OOA(2156, 44, F2, 4, 97) (dual of [(44, 4), 20, 98]-NRT-code) [i]m-Reduction for OOAs
7Linear OOA(2155, 44, F2, 4, 96) (dual of [(44, 4), 21, 97]-NRT-code) [i]
8Linear OOA(2248, 77, F2, 5, 100) (dual of [(77, 5), 137, 101]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(2255, 79, F2, 5, 100) (dual of [(79, 5), 140, 101]-NRT-code) [i]