Information on Result #2861485
Linear OOA(2246, 76, F2, 5, 98) (dual of [(76, 5), 134, 99]-NRT-code), using 1 step truncation based on linear OOA(2247, 77, F2, 5, 99) (dual of [(77, 5), 138, 100]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(288, 33, F2, 5, 49) (dual of [(33, 5), 77, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,115P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- linear OOA(2159, 44, F2, 5, 99) (dual of [(44, 5), 61, 100]-NRT-code), using
- strength reduction [i] based on 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) [i] based on
- 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 degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- 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 degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;6,2) [i]
- construction X applied to AG(5;F,18P) ⊂ AG(5;F,19P) [i] based on
- strength reduction [i] based on linear OOA(2159, 44, F2, 5, 100) (dual of [(44, 5), 61, 101]-NRT-code), using
- linear OOA(288, 33, F2, 5, 49) (dual of [(33, 5), 77, 50]-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
None.