Information on Result #1080661
Linear OOA(2260, 78, F2, 4, 107) (dual of [(78, 4), 52, 108]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2107, 42, F2, 4, 53) (dual of [(42, 4), 61, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,114P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- algebraic-geometric NRT-code AG(4;F,19P) 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(2153, 39, F2, 4, 107) (dual of [(39, 4), 3, 108]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2153, 78, F2, 2, 107) (dual of [(78, 2), 3, 108]-NRT-code), using
- strength reduction [i] based on linear OOA(2153, 78, F2, 2, 108) (dual of [(78, 2), 3, 109]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OOA(2147, 75, F2, 2, 104) (dual of [(75, 2), 3, 105]-NRT-code), using
- repeating each code word 15 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 15 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- juxtaposition [i] based on
- strength reduction [i] based on linear OOA(2153, 78, F2, 2, 108) (dual of [(78, 2), 3, 109]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2153, 78, F2, 2, 107) (dual of [(78, 2), 3, 108]-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.