Information on Result #1009775
Linear OOA(2179, 82, F2, 3, 57) (dual of [(82, 3), 67, 58]-NRT-code), using (u, u+v)-construction based on
- linear OOA(270, 42, F2, 3, 28) (dual of [(42, 3), 56, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (42, 70, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 35, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- trace code for nets [i] based on digital (7, 35, 21)-net over F4, using
- extracting embedded OOA [i] based on digital (42, 70, 42)-net over F2, using
- linear OOA(2109, 41, F2, 3, 57) (dual of [(41, 3), 14, 58]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2109, 45, F2, 3, 57) (dual of [(45, 3), 26, 58]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(432, 15, F4, 3, 28) (dual of [(15, 3), 13, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(432, 15, F4, 3, 28) (dual of [(15, 3), 13, 29]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- discarding factors / shortening the dual code based on linear OOA(2109, 45, F2, 3, 57) (dual of [(45, 3), 26, 58]-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.