Information on Result #1127259
Linear OOA(2185, 46, F2, 5, 119) (dual of [(46, 5), 45, 120]-NRT-code), using construction X applied to AG(5;F,15P) ⊂ AG(5;F,17P) based on
- linear OOA(2173, 42, F2, 5, 119) (dual of [(42, 5), 37, 120]-NRT-code), using algebraic-geometric NRT-code AG(5;F,15P) 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(2161, 42, F2, 5, 107) (dual of [(42, 5), 49, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,17P) with degPÂ =Â 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(212, 4, F2, 5, 11) (dual of [(4, 5), 8, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,13P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 5, 11) (dual of [(5, 5), 13, 12]-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.