Information on Result #1011365
Linear OOA(3176, 72, F3, 3, 87) (dual of [(72, 3), 40, 88]-NRT-code), using (u, u+v)-construction based on
- linear OOA(369, 36, F3, 3, 43) (dual of [(36, 3), 39, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,64P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(3;F,32P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3107, 36, F3, 3, 87) (dual of [(36, 3), 1, 88]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 37, F3, 3, 87) (dual of [(37, 3), 4, 88]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,3) [i]
- linear OOA(395, 33, F3, 3, 78) (dual of [(33, 3), 4, 79]-NRT-code), using
- strength reduction [i] based on linear OOA(395, 33, F3, 3, 79) (dual of [(33, 3), 4, 80]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(374, 26, F3, 3, 62) (dual of [(26, 3), 4, 63]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
- linear OOA(353, 19, F3, 3, 45) (dual of [(19, 3), 4, 46]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code) (see above)
- linear OOA(332, 12, F3, 3, 28) (dual of [(12, 3), 4, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- juxtaposition [i] based on
- juxtaposition [i] based on
- linear OOA(317, 7, F3, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(395, 33, F3, 3, 79) (dual of [(33, 3), 4, 80]-NRT-code), using
- linear OOA(38, 4, F3, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- juxtaposition [i] based on
- discarding factors / shortening the dual code based on linear OOA(3107, 37, F3, 3, 87) (dual of [(37, 3), 4, 88]-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.