Information on Result #1021997
Linear OOA(820, 325, F8, 3, 6) (dual of [(325, 3), 955, 7]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(81, 65, F8, 3, 1) (dual of [(65, 3), 194, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81, s, F8, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(81, s, F8, 3, 1) for arbitrarily large s, using
- linear OOA(81, 65, F8, 3, 1) (dual of [(65, 3), 194, 2]-NRT-code) (see above)
- linear OOA(83, 65, F8, 3, 2) (dual of [(65, 3), 192, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(83, 73, F8, 3, 2) (dual of [(73, 3), 216, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(83, 73, F8, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
- appending kth column [i] based on linear OA(83, 73, F8, 2) (dual of [73, 70, 3]-code), using
- Hamming code H(3,8) [i]
- appending kth column [i] based on linear OA(83, 73, F8, 2) (dual of [73, 70, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(83, 73, F8, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(83, 73, F8, 3, 2) (dual of [(73, 3), 216, 3]-NRT-code), using
- linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- linear OOA(811, 65, F8, 3, 6) (dual of [(65, 3), 184, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 11, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(5,64) in PG(10,8)) for nets [i] based on digital (0, 6, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base reduction for projective spaces (embedding PG(5,64) in PG(10,8)) for nets [i] based on digital (0, 6, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (5, 11, 65)-net over F8, 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.